Edit Profile (opens in new tab) Robinson, Derek W. Compute Distance To: Compute Author ID: robinson.derek-w Published as: Robinson, Derek W.; Robinson, D. W. Homepage: http://maths-people.anu.edu.au/~derek/ External Links: MGP · Wikidata · ResearchGate · dblp · GND · IdRef Documents Indexed: 173 Publications since 1961, including 8 Books 1 Further Contribution Biographic References: 2 Publications Co-Authors: 39 Co-Authors with 119 Joint Publications 880 Co-Co-Authors all top 5 Co-Authors 53 single-authored 42 ter Elst, Antonius Frederik Maria 36 Bratteli, Ola 14 Kishimoto, Akitaka 14 Sikora, Adam S. 7 Batty, Charles J. K. 6 Jørgensen, Palle E. T. 4 Digernes, Trond 4 Dungey, Nicholas 4 Elliott, George A. 4 Yamamuro, Sadayuki 4 Zhu, Yueping 3 Kastler, Daniel 3 Lanford, Oscar E. III 3 Miracle-Sole, Salvador 3 Størmer, Erling 2 Burns, Robert J. 2 Evans, David E. 2 Goodman, Frederick M. 2 Herman, Richard H. 1 Arendt, Wolfgang 1 Auscher, Pascal 1 Bratteli, Tone 1 Cabibbo, N. 1 Carey, Alan L. 1 Chrétien, M. 1 Courbage, Maurice 1 Cutkosky, R. E. 1 Deser, Stanley 1 Doplicher, Sergio 1 Duong, Xuan Thinh 1 Goodman, Fred M. 1 Hepp, Klaus 1 Hume, Leigh 1 Kadison, Richard Vincent 1 Kishimoto, Aki 1 Kurose, Hideki 1 Landstad, Magnus B. 1 Lee, Tsung-Dao 1 Lehrbäck, Juha 1 Low, Francis E. 1 Newton, Roger G. 1 Ouhabaz, El Maati 1 Powers, Robert T. 1 Ruelle, David Pierre 1 Siroka, Adam 1 Swieca, André 1 Takesaki, Masamichi all top 5 Serials 27 Communications in Mathematical Physics 15 Journal of Functional Analysis 11 Journal of Operator Theory 10 Journal of Evolution Equations 8 Journal of the Australian Mathematical Society. Series A 7 Publications of the Research Institute for Mathematical Sciences, Kyoto University 6 Mathematica Scandinavica 4 Helvetica Physica Acta 4 Journal of the Australian Mathematical Society, Series B 4 Mathematische Zeitschrift 4 Acta Applicandae Mathematicae 4 Texts and Monographs in Physics 3 Colloquium Mathematicum 2 Bulletin of the Australian Mathematical Society 2 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 2 Pacific Journal of Mathematics 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Journal of the Ramanujan Mathematical Society 2 Potential Analysis 2 Journal of the Australian Mathematical Society 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Studia Mathematica 1 Annales de l’Institut Fourier 1 Bulletin of the London Mathematical Society 1 Canadian Journal of Mathematics 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Hokkaido Mathematical Journal 1 Journal of the London Mathematical Society. Second Series 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the London Mathematical Society. Third Series 1 Tôhoku Mathematical Journal. Second Series 1 Ergodic Theory and Dynamical Systems 1 The Journal of Geometric Analysis 1 Elemente der Mathematik 1 Notices of the American Mathematical Society 1 Calculus of Variations and Partial Differential Equations 1 Positivity 1 Entropy 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Nuclear Physics 1 Progress in Mathematics 1 Science China. Mathematics 1 Proceedings of the Centre for Mathematical Analysis, Australian National University all top 5 Fields 81 Operator theory (47-XX) 65 Functional analysis (46-XX) 51 Partial differential equations (35-XX) 43 Topological groups, Lie groups (22-XX) 23 Abstract harmonic analysis (43-XX) 13 Global analysis, analysis on manifolds (58-XX) 13 Statistical mechanics, structure of matter (82-XX) 11 Potential theory (31-XX) 5 Numerical analysis (65-XX) 5 Quantum theory (81-XX) 3 Nonassociative rings and algebras (17-XX) 3 Probability theory and stochastic processes (60-XX) 2 History and biography (01-XX) 2 Measure and integration (28-XX) 2 Approximations and expansions (41-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 144 Publications have been cited 2,299 times in 1,699 Documents Cited by ▼ Year ▼ Operator algebras and quantum statistical mechanics 1. C*- and W*- algebras, symmetry groups, decomposition of states. Zbl 0421.46048Bratteli, Ola; Robinson, Derek W. 322 1979 Operator algebras and quantum statistical mechanics. II: Equilibrium states. Models in quantum statistical mechanics. Zbl 0463.46052Bratteli, Ola; Robinson, Derek W. 284 1981 Operator algebras and quantum statistical mechanics. 1. \(C^*\)- and \(W^*\)-algebras, symmetry groups, decomposition of states. 2nd ed. Zbl 0905.46046Bratteli, Ola; Robinson, Derek W. 233 1987 Operator algebras and quantum statistical mechanics. 2: Equilibrium states. Models in quantum statistical mechanics. 2nd ed. Zbl 0903.46066Bratteli, Ola; Robinson, Derek W. 227 1997 Semigroup kernels, Poisson bounds, and holomorphic functional calculus. Zbl 0932.47013Duong, Xuan T.; Robinson, Derek W. 76 1996 Elliptic operators and Lie groups. Zbl 0747.47030Robinson, Derek W. 66 1991 Mean entropy of states in classical statistical mechanics. Zbl 0144.48205Robinson, D. W.; Ruelle, D. 53 1967 Positive one-parameter semigroups on ordered Banach spaces. Zbl 0554.47022Batty, Charles J. K.; Robinson, Derek W. 48 1984 Statistical mechanics of quantum spin systems. II. Zbl 0162.29304Robinson, D. W. 48 1968 Unbounded derivations of \(C^*\)-algebras. Zbl 0302.46043Bratteli, Ola; Robinson, Derek W. 45 1975 Return to equilibrium. Zbl 0257.46091Robinson, Derek W. 42 1973 Invariant states in statistical mechanics. Zbl 0177.41303Kastler, D.; Robinson, D. W. 38 1966 Mean entropy of states in quantum-statistical mechanics. Zbl 0174.28303Lanford, O. E. III; Robinson, D. W. 28 1968 Weighted subcoercive operators on Lie groups. Zbl 0910.22005ter Elst, A. F. M.; Robinson, Derek W. 28 1998 Conserved currents and associated symmetries; Goldstone’s theorem. Zbl 0138.45603Kastler, Daniel; Robinson, Derek W.; Swieca, André 27 1966 Statistica mechanics of quantum spin systems. III. Zbl 0172.27702Lanford, Oscar E. III; Robinson, D. W. 27 1968 Analysis on Lie groups with polynomial growth. Zbl 1041.43003Dungey, Nick; ter Elst, A. F. M.; Robinson, Derek W. 27 2003 Stability properties and the KMS condition. Zbl 0392.46039Bratteli, Ola; Kishimoto, Akitaka; Robinson, Derek W. 20 1978 Unbounded derivations of \(C^*\)-algebras II. Zbl 0315.46053Bratteli, Ola; Robinson, Derek W. 19 1976 Unbounded derivations of von Neumann algebras. Zbl 0332.46043Bratteli, Ola; Robinson, Derek W. 19 1976 Asymptotically Abelian systems. Zbl 0177.41401Doplicher, S.; Kadison, Richard V.; Kastler, D.; Robinson, D. W. 18 1967 Statistical mechanics of quantum spin systems. Zbl 0181.56902Robinson, D. W. 18 1967 Analysis of degenerate elliptic operators of Grušin type. Zbl 1153.35045Robinson, Derek W.; Sikora, Adam 18 2008 Spectral estimates for positive Rockland operators. Zbl 0876.22009ter Elst, A. F. M.; Robinson, Derek W. 18 1997 Strongly positive semigroups and faithful invariant states. Zbl 0532.46040Robinson, Derek W. 16 1982 An index for continuous semigroups of *-endomorphisms of \({\mathfrak B}({\mathfrak H})\). Zbl 0687.47035Powers, Robert T.; Robinson, Derek W. 12 1989 Degenerate elliptic operators in one dimension. Zbl 1239.47038Robinson, Derek W.; Sikora, Adam 12 2010 Subordinate semigroups and order properties. Zbl 0491.47021Kishimoto, Akitaka; Robinson, Derek W. 12 1981 Second-order operators with degenerate coefficients. Zbl 1173.35039ter Elst, A. F. M.; Robinson, Derek W.; Sikora, Adam; Zhu, Yueping 11 2007 Subcoercivity and subelliptic operators on Lie groups. I: Free nilpotent groups. Zbl 0923.22005ter Elst, A. F. M.; Robinson, Derek W. 11 1994 Positivity and monotonicity properties of \(C_ 0-\)semigroups. I. Zbl 0453.47020Bratteli, Ola; Kishimoto, Akitaka; Robinson, Derek W. 11 1980 Greens functions, Hamiltonians and modular automorphisms. Zbl 0332.46044Bratteli, Ola; Robinson, Derek W. 10 1976 Dirichlet forms and degenerate elliptic operators. Zbl 1370.35145ter Elst, A. F. M.; Robinson, Derek W.; Sikora, Adam; Zhu, Yueping 10 2006 Riesz transforms and Lie groups of polynomial growth. Zbl 0953.22011ter Elst, A. F. M.; Robinson, Derek W.; Sikora, Adam 10 1999 Elliptic differential operators on Lie groups. Zbl 0764.47025Robinson, Derek W. 10 1991 Operator algebras and quantum statistical mechanics. \(C^*\)- and \(W^*\)-algebras, symmetry groups, decomposition of states. (Операторные алгебры и квантовая статистическая механика. \(C^*\)- и \(W^*\)-алгебры, группы симметрий, разложение состояний. Transl. from the English by A. B. Bulinskiĭ.) Zbl 0523.46043Bratteli, Ola; Robinson, Derek W. 9 1982 Heat kernels and Riesz transforms on nilpotent Lie groups. Zbl 0891.35030ter Elst, A. F. M.; Robinson, Derek W.; Sikora, Adam 9 1997 Positive \(C_ 0-\)semigroups on C*-algebras. Zbl 0485.46033Bratteli, Ola; Robinson, Derek W. 9 1981 Positive semigroups on ordered Banach spaces. Zbl 0514.46045Bratteli, Ola; Digernes, Trond; Robinson, Derek W. 8 1983 Normal and locally normal states. Zbl 0202.27701Robinson, D. W. 8 1970 Ground states of quantum spin systems. Zbl 0399.46052Bratteli, Ola; Kishimoto, Akitaka; Robinson, Derek W. 8 1978 Positive semigroups generated by elliptic operators on Lie groups. Zbl 0748.47034Arendt, Wolfgang; Batty, Charles J. K.; Robinson, Derek W. 8 1990 Subelliptic operators on Lie groups: Regularity. Zbl 0832.43008ter Elst, A. F. M.; Robinson, Derek W. 8 1994 On positive Rockland operators. Zbl 0856.43005Auscher, Pascal; ter Elst, A. F. M.; Robinson, Derek W. 8 1994 The heat semigroup and integrability of Lie algebras. Zbl 0662.22009Bratteli, Ola; Goodman, Frederick M.; Jørgensen, Palle E. T.; Robinson, Derek W. 8 1988 The canonical half-norm, dual half-norms, and monotonic norms. Zbl 0526.46028Robinson, Derek W.; Yamamuro, Sadayuki 7 1983 The Jordan decomposition and half-norms. Zbl 0562.46015Robinson, Derek W.; Yamamuro, Sadayuki 7 1984 On unbounded derivations commuting with a compact group of *- automorphisms. Zbl 0509.46051Kishimoto, Akitaka; Robinson, Derek W. 7 1982 Subcoercive and subelliptic operators on Lie groups: Variable coefficients. Zbl 0816.43002ter Elst, A. F. M.; Robinson, Derek W. 7 1993 On second-order periodic elliptic operators in divergence form. Zbl 1002.35026ter Elst, A. F. M.; Robinson, Derek W.; Sikora, Adam 7 2001 Positivity and monotonicity properties of \(C_ 0-\)semigroups. II. Zbl 0453.47021Kishimoto, Akitaka; Robinson, Derek W. 7 1980 Unitary representations of Lie groups and Gårding’s inequality. Zbl 0683.47029Bratteli, Ola; Goodman, Fred M.; Jørgensen, Palle E. T.; Robinson, Derek W. 6 1989 Continuous semigroups on ordered Banach spaces. Zbl 0535.47021Robinson, Derek W. 6 1983 Hereditary cones, order ideals and half-norms. Zbl 0562.46016Robinson, Derek W.; Yamamuro, Sadayuki 6 1984 Entropy and uncertainty. Zbl 1179.94051Robinson, Derek W. 6 2008 \(L_{1}\)-uniqueness of degenerate elliptic operators. Zbl 1222.47033Robinson, Derek W.; Sikora, Adam 6 2011 Small time asymptotics of diffusion processes. Zbl 1113.60085ter Elst, A. F. M.; Robinson, Derek W.; Sikora, Adam 6 2007 Rohlin flows on the Cuntz algebra \(\mathcal O_\infty\). Zbl 1125.46055Bratteli, Ola; Kishimoto, Akitaka; Robinson, Derek W. 6 2007 Hardy inequalities, Rellich inequalities and local Dirichlet forms. Zbl 1401.31022Robinson, Derek W. 6 2018 On Kato’s square root problem. Zbl 0884.35016ter Elst, A. F. M.; Robinson, Derek W. 6 1997 \(L_ p\)-regularity of subelliptic operators on Lie groups. Zbl 0857.58044Burns, Robert J.; ter Elst, A. F. M.; Robinson, Derek W. 6 1994 The differential and integral structure of representations of Lie groups. Zbl 0665.22005Robinson, Derek W. 6 1988 Basic semigroup theory. Zbl 0866.47034Robinson, Derek W. 6 1996 A \(C^*\)-algebraic Schoenberg theorem. Zbl 0536.46046Bratteli, O.; Jørgensen, Palle E. T.; Kishimoto, A.; Robinson, D. W. 5 1984 Basic theory of one-parameter semigroups. Zbl 0547.47021Robinson, Derek W. 5 1982 C*-algebras and quantum statistical mechanics. Zbl 0412.46056Robinson, D. W. 5 1976 The approximation of flows. Zbl 0349.47016Robinson, Derek W. 5 1977 Markov uniqueness of degenerate elliptic operators. Zbl 1259.47026Robinson, Derek W.; Sikora, Adam 5 2011 Uniqueness of diffusion on domains with rough boundaries. Zbl 1328.47047Lehrbäck, Juha; Robinson, Derek W. 5 2016 The limitations of the Poincaré inequality for Grušin type operators. Zbl 1488.35254Robinson, Derek W.; Sikora, Adam 5 2014 Uniqueness of diffusion operators and capacity estimates. Zbl 1282.47030Robinson, Derek W. 5 2013 The physical states of Fermi systems. Zbl 0181.57004Miracle-Solé, Salvador; Robinson, Derek W. 5 1969 Approximately inner derivations. Zbl 1168.46041Bratteli, Ola; Kishimoto, Akitaka; Robinson, Derek W. 5 2008 High order divergence-form elliptic operators on Lie groups. Zbl 0884.35029ter Elst, A. F. M.; Robinson, Derek W. 5 1997 Second-order subelliptic operators on Lie groups. I: Complex uniformly continuous principal coefficients. Zbl 0953.22009ter Elst, A. F. M.; Robinson, Derek W. 5 1999 Embedding product type actions into C *-dynamical systems. Zbl 0636.46058Bratteli, Ola; Kishimoto, Akitaka; Robinson, Derek W. 5 1987 Weighted strongly elliptic operators on Lie groups. Zbl 0815.58023ter Elst, A. F. M.; Robinson, Derek W. 5 1994 Subcoercivity and subelliptic operators on Lie groups. II: The general case. Zbl 0841.43016ter Elst, A. F. M.; Robinson, Derek W. 5 1995 Reduced heat kernels on nilpotent Lie groups. Zbl 0838.22002ter Elst, A. F. M.; Robinson, Derek W. 5 1995 Spectral asymptotics of periodic elliptic operators. Zbl 0942.43004Bratteli, Ola; Jørgensen, Palle E. T.; Robinson, Derek W. 5 1999 Lie groups and Lipschitz spaces. Zbl 0687.46024Robinson, Derek W. 4 1988 Fractional powers of generators of equicontinuous semigroups and fractional derivatives. Zbl 0689.47015Lanford, Oscar E. III; Robinson, Derek W. 4 1989 Strictly positive and strongly positive semigroups. Zbl 0521.47022Majewski, Adam; Robinson, Derek W. 4 1983 Addition of an identity to an ordered Banach space. Zbl 0527.46016Robinson, Derek W.; Yamamuro, Sadayuki 4 1983 Relative locality of derivations. Zbl 0548.46049Bratteli, Ola; Digernes, Trond; Robinson, Derek W. 4 1984 Dissipations, derivations, dynamical systems, and asymptotic abelianness. Zbl 0569.46040Kishimoto, Akitaka; Robinson, Derek W. 4 1985 Derivations, dynamical systems, and spectral restrictions. Zbl 0574.46050Kishimoto, Akitaka; Robinson, Derek W. 4 1985 A theorem concerning the positive metric. Zbl 0128.45902Robinson, D. W. 4 1965 Flows and invariance for degenerate elliptic operators. Zbl 1226.35043ter Elst, A. F. M.; Robinson, Derek W.; Sikora, Adam 4 2011 The characterization of differential operators by locality: Classical flows. Zbl 0606.47048Bratteli, Ola; Elliott, George A.; Robinson, Derek W. 4 1986 Return to equilibrium in the XY model. Zbl 0632.46071Hume, Leigh; Robinson, Derek W. 4 1986 Subelliptic operators on Lie groups: Variable coefficients. Zbl 0842.43005Bratteli, Ola; Robinson, Derek W. 4 1996 Multiple Coulomb excitations of deformed nuclei. Zbl 0115.23704Robinson, D. W. 3 1963 On positive semigroups. Zbl 0568.47032Robinson, Derek W. 3 1984 A characterization of clustering states. Zbl 0295.46090Robinson, Derek W. 3 1975 Unbounded derivations and invariant trace states. Zbl 0315.46054Bratteli, Ola; Robinson, Derek W. 3 1976 Uniqueness properties of degenerate elliptic operators. Zbl 1253.47032Ouhabaz, El Maati; Robinson, Derek W. 3 2012 Statistical mechanics of quantum mechanical particles with hard cores. I: The thermodynamic pressure. Zbl 0189.55501Robinson, D. W. 3 1970 Asymptotics of periodic subelliptic operators. Zbl 0861.43005Batty, Charles J. K.; Bratteli, Ola; Jørgensen, Palle E. T.; Robinson, Derek W. 3 1995 Properties of propagation of quantum spin systems. Zbl 0367.46065Robinson, Derek W. 3 1976 The weighted Hardy inequality and self-adjointness of symmetric diffusion operators. Zbl 1469.31030Robinson, Derek W. 2 2021 The weighted Hardy constant. Zbl 1475.31007Robinson, Derek W. 1 2021 Hardy and Rellich inequalities on the complement of convex sets. Zbl 1434.26040Robinson, Derek W. 2 2020 Hardy inequalities, Rellich inequalities and local Dirichlet forms. Zbl 1401.31022Robinson, Derek W. 6 2018 On extensions of local Dirichlet forms. Zbl 1390.31007Robinson, Derek W. 1 2017 Uniqueness of diffusion on domains with rough boundaries. Zbl 1328.47047Lehrbäck, Juha; Robinson, Derek W. 5 2016 Grušin operators, Riesz transforms and nilpotent Lie groups. Zbl 1338.47054Robinson, Derek W.; Sikora, Adam 1 2016 The limitations of the Poincaré inequality for Grušin type operators. Zbl 1488.35254Robinson, Derek W.; Sikora, Adam 5 2014 Uniqueness of diffusion operators and capacity estimates. Zbl 1282.47030Robinson, Derek W. 5 2013 Uniqueness properties of degenerate elliptic operators. Zbl 1253.47032Ouhabaz, El Maati; Robinson, Derek W. 3 2012 \(L_{1}\)-uniqueness of degenerate elliptic operators. Zbl 1222.47033Robinson, Derek W.; Sikora, Adam 6 2011 Markov uniqueness of degenerate elliptic operators. Zbl 1259.47026Robinson, Derek W.; Sikora, Adam 5 2011 Flows and invariance for degenerate elliptic operators. Zbl 1226.35043ter Elst, A. F. M.; Robinson, Derek W.; Sikora, Adam 4 2011 Degenerate elliptic operators in one dimension. Zbl 1239.47038Robinson, Derek W.; Sikora, Adam 12 2010 Hardy spaces on Lie groups of polynomial growth. Zbl 1188.43001ter Elst, A. F. M.; Robinson, Derek W.; Zhu, Yueping 1 2010 Conservation and invariance properties of sub-Markovian semigroups. Zbl 1215.31002ter Elst, A. F. M.; Robinson, Derek W. 1 2009 Analysis of degenerate elliptic operators of Grušin type. Zbl 1153.35045Robinson, Derek W.; Sikora, Adam 18 2008 Entropy and uncertainty. Zbl 1179.94051Robinson, Derek W. 6 2008 Approximately inner derivations. Zbl 1168.46041Bratteli, Ola; Kishimoto, Akitaka; Robinson, Derek W. 5 2008 Invariant subspaces of submarkovian semigroups. Zbl 1186.47040ter Elst, A. F. M.; Robinson, Derek W. 1 2008 Second-order operators with degenerate coefficients. Zbl 1173.35039ter Elst, A. F. M.; Robinson, Derek W.; Sikora, Adam; Zhu, Yueping 11 2007 Small time asymptotics of diffusion processes. Zbl 1113.60085ter Elst, A. F. M.; Robinson, Derek W.; Sikora, Adam 6 2007 Rohlin flows on the Cuntz algebra \(\mathcal O_\infty\). Zbl 1125.46055Bratteli, Ola; Kishimoto, Akitaka; Robinson, Derek W. 6 2007 Degenerate elliptic operators: capacity, flux and separation. Zbl 1132.35382Robinson, Derek W.; Sikora, Adam 2 2007 Dirichlet forms and degenerate elliptic operators. Zbl 1370.35145ter Elst, A. F. M.; Robinson, Derek W.; Sikora, Adam; Zhu, Yueping 10 2006 Positivity and strong ellipticity. Zbl 1152.35023ter Elst, A. F. M.; Robinson, Derek W.; Zhu, Yueping 1 2006 Analysis on Lie groups with polynomial growth. Zbl 1041.43003Dungey, Nick; ter Elst, A. F. M.; Robinson, Derek W. 27 2003 Gaussian bounds for complex subelliptic operators on Lie groups of polynomial growth. Zbl 1027.22013ter Elst, A. F. M.; Robinson, Derek W. 2 2003 On second-order periodic elliptic operators in divergence form. Zbl 1002.35026ter Elst, A. F. M.; Robinson, Derek W.; Sikora, Adam 7 2001 On second-order almost-periodic elliptic operators. Zbl 1018.35041Dungey, N.; ter Elst, A. F. M.; Robinson, Derek W. 3 2001 Second-order subelliptic operators on Lie groups. II: Real measurable principal coefficients. Zbl 0994.22008ter Elst, A. F. M.; Robinson, Derek W. 3 2000 Riesz transforms and Lie groups of polynomial growth. Zbl 0953.22011ter Elst, A. F. M.; Robinson, Derek W.; Sikora, Adam 10 1999 Second-order subelliptic operators on Lie groups. I: Complex uniformly continuous principal coefficients. Zbl 0953.22009ter Elst, A. F. M.; Robinson, Derek W. 5 1999 Spectral asymptotics of periodic elliptic operators. Zbl 0942.43004Bratteli, Ola; Jørgensen, Palle E. T.; Robinson, Derek W. 5 1999 Second-order subelliptic operators on Lie groups. III: Hölder continuous coefficients. Zbl 0953.22010ter Elst, A. F. M.; Robinson, Derek W. 2 1999 Asymptotics of sums of subcoercive operators. Zbl 0943.22006Dungey, Nick; ter Elst, A. F. M.; Robinson, Derek W. 1 1999 Weighted subcoercive operators on Lie groups. Zbl 0910.22005ter Elst, A. F. M.; Robinson, Derek W. 28 1998 Local lower bounds on heat kernels. Zbl 0916.47025ter Elst, A. F. M.; Robinson, Derek W. 3 1998 Operator algebras and quantum statistical mechanics. 2: Equilibrium states. Models in quantum statistical mechanics. 2nd ed. Zbl 0903.46066Bratteli, Ola; Robinson, Derek W. 227 1997 Spectral estimates for positive Rockland operators. Zbl 0876.22009ter Elst, A. F. M.; Robinson, Derek W. 18 1997 Heat kernels and Riesz transforms on nilpotent Lie groups. Zbl 0891.35030ter Elst, A. F. M.; Robinson, Derek W.; Sikora, Adam 9 1997 On Kato’s square root problem. Zbl 0884.35016ter Elst, A. F. M.; Robinson, Derek W. 6 1997 High order divergence-form elliptic operators on Lie groups. Zbl 0884.35029ter Elst, A. F. M.; Robinson, Derek W. 5 1997 Abundance of invariant and almost invariant pure states of \(C^*\)-dynamical systems. Zbl 0898.46057Bratteli, Ola; Kishimoto, Akitaka; Robinson, Derek W. 3 1997 Second-order strongly elliptic operators on Lie groups with Hölder continuous coefficients. Zbl 0893.35024ter Elst, A. F. M.; Robinson, Derek W. 3 1997 Semigroup kernels, Poisson bounds, and holomorphic functional calculus. Zbl 0932.47013Duong, Xuan T.; Robinson, Derek W. 76 1996 Basic semigroup theory. Zbl 0866.47034Robinson, Derek W. 6 1996 Subelliptic operators on Lie groups: Variable coefficients. Zbl 0842.43005Bratteli, Ola; Robinson, Derek W. 4 1996 Elliptic operators on Lie groups. Zbl 0856.22015ter Elst, A. F. M.; Robinson, Derek W. 2 1996 Subcoercivity and subelliptic operators on Lie groups. II: The general case. Zbl 0841.43016ter Elst, A. F. M.; Robinson, Derek W. 5 1995 Reduced heat kernels on nilpotent Lie groups. Zbl 0838.22002ter Elst, A. F. M.; Robinson, Derek W. 5 1995 Asymptotics of periodic subelliptic operators. Zbl 0861.43005Batty, Charles J. K.; Bratteli, Ola; Jørgensen, Palle E. T.; Robinson, Derek W. 3 1995 Subcoercivity and subelliptic operators on Lie groups. I: Free nilpotent groups. Zbl 0923.22005ter Elst, A. F. M.; Robinson, Derek W. 11 1994 Subelliptic operators on Lie groups: Regularity. Zbl 0832.43008ter Elst, A. F. M.; Robinson, Derek W. 8 1994 On positive Rockland operators. Zbl 0856.43005Auscher, Pascal; ter Elst, A. F. M.; Robinson, Derek W. 8 1994 \(L_ p\)-regularity of subelliptic operators on Lie groups. Zbl 0857.58044Burns, Robert J.; ter Elst, A. F. M.; Robinson, Derek W. 6 1994 Weighted strongly elliptic operators on Lie groups. Zbl 0815.58023ter Elst, A. F. M.; Robinson, Derek W. 5 1994 Functional analysis of subelliptic operators on Lie groups. Zbl 0851.43005ter Elst, A. F. M.; Robinson, Derek W. 1 1994 Subcoercive and subelliptic operators on Lie groups: Variable coefficients. Zbl 0816.43002ter Elst, A. F. M.; Robinson, Derek W. 7 1993 Elliptic operators and Lie groups. Zbl 0747.47030Robinson, Derek W. 66 1991 Elliptic differential operators on Lie groups. Zbl 0764.47025Robinson, Derek W. 10 1991 Subelliptic operators on Lie groups. Zbl 0816.43001ter Elst, A. F. M.; Robinson, Derek W. 2 1991 Second-order elliptic operators and heat kernels on Lie groups. Zbl 0739.22009Bratteli, Ola; Robinson, Derek W. 1 1991 Positive semigroups generated by elliptic operators on Lie groups. Zbl 0748.47034Arendt, Wolfgang; Batty, Charles J. K.; Robinson, Derek W. 8 1990 An index for continuous semigroups of *-endomorphisms of \({\mathfrak B}({\mathfrak H})\). Zbl 0687.47035Powers, Robert T.; Robinson, Derek W. 12 1989 Unitary representations of Lie groups and Gårding’s inequality. Zbl 0683.47029Bratteli, Ola; Goodman, Fred M.; Jørgensen, Palle E. T.; Robinson, Derek W. 6 1989 Fractional powers of generators of equicontinuous semigroups and fractional derivatives. Zbl 0689.47015Lanford, Oscar E. III; Robinson, Derek W. 4 1989 Commutators and generators. II. Zbl 0706.47025Robinson, Derek W. 2 1989 Lipschitz operators. Zbl 0705.47037Robinson, Derek W. 1 1989 The heat semigroup and integrability of Lie algebras. Zbl 0662.22009Bratteli, Ola; Goodman, Frederick M.; Jørgensen, Palle E. T.; Robinson, Derek W. 8 1988 The differential and integral structure of representations of Lie groups. Zbl 0665.22005Robinson, Derek W. 6 1988 Lie groups and Lipschitz spaces. Zbl 0687.46024Robinson, Derek W. 4 1988 The heat semigroup, derivations, and Reynold’s identity. Zbl 0706.46051Batty, Charles J. K.; Bratteli, Ola; Robinson, Derek W. 1 1988 Commutators and generators. Zbl 0643.47045Batty, Charles J. K.; Robinson, Derek W. 1 1988 Operator algebras and quantum statistical mechanics. 1. \(C^*\)- and \(W^*\)-algebras, symmetry groups, decomposition of states. 2nd ed. Zbl 0905.46046Bratteli, Ola; Robinson, Derek W. 233 1987 Embedding product type actions into C *-dynamical systems. Zbl 0636.46058Bratteli, Ola; Kishimoto, Akitaka; Robinson, Derek W. 5 1987 Commutator theory on Hilbert space. Zbl 0627.47014Robinson, Derek W. 3 1987 Smooth derivations on abelian \(C^ *\)-dynamical systems. Zbl 0629.46059Robinson, Derek W. 2 1987 The characterization of differential operators by locality: Classical flows. Zbl 0606.47048Bratteli, Ola; Elliott, George A.; Robinson, Derek W. 4 1986 Return to equilibrium in the XY model. Zbl 0632.46071Hume, Leigh; Robinson, Derek W. 4 1986 Smooth cores of Lipschitz flows. Zbl 0636.46059Robinson, Derek W. 1 1986 Dissipations, derivations, dynamical systems, and asymptotic abelianness. Zbl 0569.46040Kishimoto, Akitaka; Robinson, Derek W. 4 1985 Derivations, dynamical systems, and spectral restrictions. Zbl 0574.46050Kishimoto, Akitaka; Robinson, Derek W. 4 1985 Integration in Abelian \(C^*\)-dynamical systems. Zbl 0593.46055Bratteli, Ola; Digernes, Trond; Goodman, Frederick; Robinson, Derek W. 3 1985 The characterization of differential operators by locality: Abstract derivations. Zbl 0551.46044Batty, C. J. K.; Robinson, D. W. 1 1985 Positive one-parameter semigroups on ordered Banach spaces. Zbl 0554.47022Batty, Charles J. K.; Robinson, Derek W. 48 1984 The Jordan decomposition and half-norms. Zbl 0562.46015Robinson, Derek W.; Yamamuro, Sadayuki 7 1984 Hereditary cones, order ideals and half-norms. Zbl 0562.46016Robinson, Derek W.; Yamamuro, Sadayuki 6 1984 A \(C^*\)-algebraic Schoenberg theorem. Zbl 0536.46046Bratteli, O.; Jørgensen, Palle E. T.; Kishimoto, A.; Robinson, D. W. 5 1984 Relative locality of derivations. Zbl 0548.46049Bratteli, Ola; Digernes, Trond; Robinson, Derek W. 4 1984 On positive semigroups. Zbl 0568.47032Robinson, Derek W. 3 1984 Extending derivations. Zbl 0544.46039Batty, C. J. K.; Carey, A. L.; Evans, D. E.; Robinson, Derek W. 1 1984 Positive semigroups on ordered Banach spaces. Zbl 0514.46045Bratteli, Ola; Digernes, Trond; Robinson, Derek W. 8 1983 The canonical half-norm, dual half-norms, and monotonic norms. Zbl 0526.46028Robinson, Derek W.; Yamamuro, Sadayuki 7 1983 Continuous semigroups on ordered Banach spaces. Zbl 0535.47021Robinson, Derek W. 6 1983 Strictly positive and strongly positive semigroups. Zbl 0521.47022Majewski, Adam; Robinson, Derek W. 4 1983 Addition of an identity to an ordered Banach space. Zbl 0527.46016Robinson, Derek W.; Yamamuro, Sadayuki 4 1983 Strongly positive semigroups and faithful invariant states. Zbl 0532.46040Robinson, Derek W. 16 1982 Operator algebras and quantum statistical mechanics. \(C^*\)- and \(W^*\)-algebras, symmetry groups, decomposition of states. (Операторные алгебры и квантовая статистическая механика. \(C^*\)- и \(W^*\)-алгебры, группы симметрий, разложение состояний. Transl. from the English by A. B. Bulinskiĭ.) Zbl 0523.46043Bratteli, Ola; Robinson, Derek W. 9 1982 On unbounded derivations commuting with a compact group of *- automorphisms. Zbl 0509.46051Kishimoto, Akitaka; Robinson, Derek W. 7 1982 ...and 44 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,536 Authors 71 Robinson, Derek W. 38 Jørgensen, Palle E. T. 34 Bratteli, Ola 21 Kishimoto, Akitaka 21 ter Elst, Antonius Frederik Maria 19 Ruzhansky, Michael V. 18 Nachtergaele, Bruno 18 Ogata, Yoshiko 16 Mukhamedov, Farruh Maksutovich 15 Longo, Roberto 15 Sakbaev, Vsevolod Zhanovich 15 Sikora, Adam S. 14 Batty, Charles J. K. 14 Petz, Dénes 14 Pillet, Claude-Alain 14 Sims, Robert L. 14 Trapani, Camillo 13 Fidaleo, Francesco 13 Jakšić, Vojkan 13 Narnhofer, Heide 13 Ouhabaz, El Maati 12 Buchholz, Detlev 12 Pinamonti, Nicola 12 Werner, Reinhard F. 11 Duits, Remco 11 Fröhlich, Jürg Martin 11 Sukochev, Fedor Anatol’evich 11 Verbeure, André F. 10 Duong, Xuan Thinh 10 Evans, David E. 10 Fannes, Mark 10 Martini, Alessio 10 Merkli, Marco 10 Ruelle, David Pierre 9 Bagarello, Fabio 9 Bru, Jean-Bernard 9 Hiai, Fumio 9 Kastler, Daniel 9 Laca, Marcelo 9 Majewski, Wladyslaw Adam 9 Matsui, Taku 9 Miyao, Tadahiro 9 Park, Yong Moon 9 Wreszinski, Walter F. 9 Zagrebnov, Valentin A. 8 Accardi, Luigi 8 Albeverio, Sergio A. 8 Araki, Huzihiro 8 Connes, Alain 8 Naaijkens, Pieter 8 Thomsen, Klaus E. 7 Antoine, Jean-Pierre 7 Arendt, Wolfgang 7 Auscher, Pascal 7 Benatti, Fabio 7 Coulhon, Thierry 7 Fredenhagen, Klaus 7 Herman, Richard H. 7 Inoue, Atsushi 7 Jäkel, Christian D. 7 Kiessling, Michael Karl-Heinz 7 Kissin, Edward V. 7 Souissi, Abdessatar 7 Tanimoto, Yoh 7 Triolo, Salvatore 7 Verch, Rainer 7 Yan, Lixin 6 Aschbacher, Walter H. 6 Borchers, Hans-Jürgen 6 Carey, Alan L. 6 Doplicher, Sergio 6 Dungey, Nicholas 6 Duvenhage, Rocco 6 Dvurečenskij, Anatolij 6 Elliott, George A. 6 Frigerio, Alberto 6 Glück, Jochen 6 Goodman, Frederick M. 6 Larsen, Nadia S. 6 Marcolli, Matilde 6 Moretti, Valter 6 Olkiewicz, Robert 6 Price, Geoffrey L. 6 Størmer, Erling 6 Tasaki, Hal 6 Thirring, Walter E. 5 Bachmann, Sven 5 Coburn, Lewis A. 5 Crismale, Vitonofrio 5 De Siqueira Pedra, Walter 5 Drago, Nicolò 5 Floreanini, Roberto 5 Fraas, Martin 5 Goderis, D. 5 Grundling, Hendrik B. G. S. 5 Hieber, Matthias 5 Hillier, Robin 5 Labuschagne, Louis E. 5 Lechner, Gandalf 5 Lewin, Mathieu ...and 1,436 more Authors all top 5 Cited in 260 Serials 282 Communications in Mathematical Physics 121 Journal of Functional Analysis 89 Journal of Mathematical Physics 78 Journal of Statistical Physics 61 Letters in Mathematical Physics 45 Annales Henri Poincaré 37 Publications of the Research Institute for Mathematical Sciences, Kyoto University 34 Transactions of the American Mathematical Society 31 Journal of Mathematical Analysis and Applications 31 Reports on Mathematical Physics 24 Reviews in Mathematical Physics 24 Mathematische Zeitschrift 24 Proceedings of the American Mathematical Society 24 Annales de l’Institut Henri Poincaré. Physique Théorique 21 International Journal of Theoretical Physics 18 Advances in Mathematics 17 Mathematische Annalen 17 Journal of Evolution Equations 16 Acta Applicandae Mathematicae 15 Theoretical and Mathematical Physics 15 Journal of Differential Equations 14 Journal of Geometry and Physics 13 Semigroup Forum 12 The Journal of Geometric Analysis 12 Infinite Dimensional Analysis, Quantum Probability and Related Topics 12 Foundations of Physics 10 Integral Equations and Operator Theory 10 Potential Analysis 9 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 9 Probability Theory and Related Fields 9 The Journal of Fourier Analysis and Applications 8 Bulletin of the Australian Mathematical Society 8 Mathematical Notes 8 Studia Mathematica 8 Annales de l’Institut Fourier 8 Functional Analysis and its Applications 8 Journal of Soviet Mathematics 8 Annals of Physics 7 Journal d’Analyse Mathématique 7 Nuclear Physics. B 7 Mathematical Physics, Analysis and Geometry 7 Open Systems & Information Dynamics 7 Journal of Noncommutative Geometry 6 Duke Mathematical Journal 6 Revista Matemática Iberoamericana 6 Positivity 6 Journal of High Energy Physics 6 Journal of the Australian Mathematical Society 6 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 6 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics 5 Israel Journal of Mathematics 5 Archiv der Mathematik 5 Journal of the Mathematical Society of Japan 5 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 5 Ergodic Theory and Dynamical Systems 5 International Journal of Mathematics 5 Communications in Partial Differential Equations 5 Journal of Mathematical Sciences (New York) 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Communications on Pure and Applied Mathematics 4 Physics Letters. A 4 Rocky Mountain Journal of Mathematics 4 The Annals of Probability 4 Memoirs of the American Mathematical Society 4 Monatshefte für Mathematik 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Tôhoku Mathematical Journal. Second Series 4 Forum Mathematicum 4 Acta Mathematica Sinica. English Series 4 Lobachevskii Journal of Mathematics 4 Mediterranean Journal of Mathematics 4 Complex Analysis and Operator Theory 4 Advances in Mathematical Physics 4 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Physics Reports 3 Ukrainian Mathematical Journal 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Inventiones Mathematicae 3 Manuscripta Mathematica 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Siberian Mathematical Journal 3 Zeitschrift für Analysis und ihre Anwendungen 3 Annals of Global Analysis and Geometry 3 Journal of Theoretical Probability 3 Journal of the American Mathematical Society 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Bulletin of the American Mathematical Society. New Series 3 Expositiones Mathematicae 3 Journal of Mathematical Imaging and Vision 3 Russian Mathematics 3 Calculus of Variations and Partial Differential Equations 3 Russian Journal of Mathematical Physics 3 Applied and Computational Harmonic Analysis 3 Journal of Mathematical Chemistry 3 Abstract and Applied Analysis 3 Brazilian Journal of Probability and Statistics 3 Stochastic Models 3 Quantum Information Processing 3 Analysis in Theory and Applications ...and 160 more Serials all top 5 Cited in 59 Fields 752 Functional analysis (46-XX) 559 Quantum theory (81-XX) 464 Operator theory (47-XX) 395 Statistical mechanics, structure of matter (82-XX) 235 Partial differential equations (35-XX) 149 Probability theory and stochastic processes (60-XX) 126 Topological groups, Lie groups (22-XX) 101 Global analysis, analysis on manifolds (58-XX) 98 Harmonic analysis on Euclidean spaces (42-XX) 76 Abstract harmonic analysis (43-XX) 57 Dynamical systems and ergodic theory (37-XX) 55 Information and communication theory, circuits (94-XX) 48 Differential geometry (53-XX) 40 Relativity and gravitational theory (83-XX) 37 Nonassociative rings and algebras (17-XX) 25 Measure and integration (28-XX) 21 Ordinary differential equations (34-XX) 19 Group theory and generalizations (20-XX) 19 Potential theory (31-XX) 19 Biology and other natural sciences (92-XX) 14 Number theory (11-XX) 14 Real functions (26-XX) 13 Linear and multilinear algebra; matrix theory (15-XX) 13 Associative rings and algebras (16-XX) 13 General topology (54-XX) 12 Mathematical logic and foundations (03-XX) 12 Combinatorics (05-XX) 12 Order, lattices, ordered algebraic structures (06-XX) 12 Statistics (62-XX) 12 Numerical analysis (65-XX) 12 Mechanics of particles and systems (70-XX) 11 Algebraic geometry (14-XX) 10 Computer science (68-XX) 9 Several complex variables and analytic spaces (32-XX) 9 Classical thermodynamics, heat transfer (80-XX) 8 Optics, electromagnetic theory (78-XX) 7 \(K\)-theory (19-XX) 7 Functions of a complex variable (30-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Fluid mechanics (76-XX) 6 Integral equations (45-XX) 6 Manifolds and cell complexes (57-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Algebraic topology (55-XX) 4 Category theory; homological algebra (18-XX) 4 Difference and functional equations (39-XX) 4 Mechanics of deformable solids (74-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Approximations and expansions (41-XX) 3 Integral transforms, operational calculus (44-XX) 2 General algebraic systems (08-XX) 2 Convex and discrete geometry (52-XX) 2 Astronomy and astrophysics (85-XX) 2 Operations research, mathematical programming (90-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Geometry (51-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.