Edit Profile (opens in new tab) Araki, Huzihiro Compute Distance To: Compute Author ID: araki.huzihiro Published as: Araki, Huzihiro; Araki, H. External Links: MGP · Wikidata · Math-Net.Ru · GND · IdRef Documents Indexed: 123 Publications since 1954, including 2 Books 14 Contributions as Editor · 2 Further Contributions Reviewing Activity: 71 Reviews Biographic References: 4 Publications Co-Authors: 57 Co-Authors with 54 Joint Publications 1,000 Co-Co-Authors all top 5 Co-Authors 85 single-authored 4 Woods, Edward James 3 Kishimoto, Akitaka 3 Matsui, Taku 3 Moriya, Hajime 2 Barouch, Eytan 2 Choda, Marie 2 Evans, David E. 2 Ezawa, Hiroshi 2 Kadison, Richard Vincent 2 Nakagami, Yoshiomi 2 Saitô, Kazuyuki 2 Tomiyama, Jun 2 Yamagami, Shigeru 2 Zsidó, Lászlo 1 Aizenman, Michael 1 Amemiya, Ichiro 1 Araki, Gentaro 1 Arsene, Grigore 1 Burgoyne, N. 1 Carey, Alan L. 1 Choda, Hisashi 1 Effros, Edward George 1 Elliott, George A. 1 Englert, Berthold-Georg 1 Flato, Moshé 1 Gotō, Tetsuo 1 Haag, Rudolf 1 Hakeda, Jôsuke 1 Hamana, Masamichi 1 Hansen, Frank-Peter 1 Hepp, Klaus 1 Ho, T. G. 1 Hofmann, Gerald 1 Ikunishi, Akio 1 Ito, Keiichi R. 1 Jurzak, Jean-Paul 1 Kajiwara, Tsuyoshi 1 Kawaguchi, Masaaki 1 Kawahigashi, Yasuyuki 1 Kosaki, Hideki 1 Kusuda, Masaharu 1 Kwek, Leong Chuan 1 Masuda, Tetsuya 1 Michéa, Sébastien 1 Miyata, Hideo 1 Moore, Calvin C. 1 Munakata, Yasuo 1 Nakazato, Hiroshi 1 Natsume, Toshikazu 1 Ojima, Izumi 1 Ozawa, Masanao 1 Raggio, Guido A. 1 Ruelle, David Pierre 1 Schroer, Bert 1 Shiraishi, Masafumi 1 Sinha, Kalyan B. 1 Smith, Larry 1 Smith, Mi-Soo Bae 1 Sternheimer, Daniel 1 Strătilă, Şerban Valentin 1 Sunder, Viakalathur S. 1 Suzuki, Jun-Ichirou 1 Tabuchi, Takaaki 1 Takai, Hiroshi 1 Takemoto, Hideo 1 Voiculescu, Dan-Virgil 1 Wyss, Walter 1 Yanase, Mutsuo M. all top 5 Serials 20 Communications in Mathematical Physics 20 Publications of the Research Institute for Mathematical Sciences, Kyoto University 9 Letters in Mathematical Physics 8 Publications of the Research Institute for Mathematical Sciences, Series A 6 Progress of Theoretical Physics 5 Reviews in Mathematical Physics 4 Helvetica Physica Acta 4 Journal of Mathematical Physics 2 International Journal of Modern Physics B 2 Reports on Mathematical Physics 2 Pacific Journal of Mathematics 2 Annals of Physics 2 Il Nuovo Cimento, X. Series 2 Lecture Notes in Mathematics 2 International Series of Monographs on Physics 1 Journal of Statistical Physics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Mathematica Japonica 1 Mitteilungen der Mathematischen Gesellschaft der Deutschen Demokratischen Republik 1 Proceedings of the American Mathematical Society 1 Journal of Operator Theory 1 Acta Applicandae Mathematicae 1 Sūgaku 1 RIMS Kokyuroku 1 Physica Scripta 1 Physical Review, II. Series 1 Advanced Series in Mathematical Physics 1 Lecture Notes in Physics 1 Mathematical Physics Studies 1 Proceedings of the Steklov Institute of Mathematics 1 Progress in Mathematics 1 Lecture Notes Series. Institute for Mathematical Sciences. National University of Singapore all top 5 Fields 88 Functional analysis (46-XX) 34 Statistical mechanics, structure of matter (82-XX) 31 Quantum theory (81-XX) 16 Operator theory (47-XX) 13 General and overarching topics; collections (00-XX) 6 Topological groups, Lie groups (22-XX) 4 History and biography (01-XX) 4 Partial differential equations (35-XX) 4 Probability theory and stochastic processes (60-XX) 2 Nonassociative rings and algebras (17-XX) 2 Ordinary differential equations (34-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Measure and integration (28-XX) 1 Manifolds and cell complexes (57-XX) 1 Numerical analysis (65-XX) 1 Optics, electromagnetic theory (78-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 100 Publications have been cited 1,985 times in 1,393 Documents Cited by ▼ Year ▼ Relative entropy of states of von Neumann algebras. Zbl 0326.46031Araki, Huzihiro 130 1976 On quasifree states of CAR and Bogoliubov automorphisms. Zbl 0227.46061Araki, Huzihiro 101 1971 On an inequality of Lieb and Thirring. Zbl 0705.47020Araki, Huzihiro 85 1990 Some properties of modular conjugation operator of von Neumann algebras and a non-commutative Radon-Nikodym theorem with a chain rule. Zbl 0287.46074Araki, Huzihiro 80 1974 A classification of factors. Zbl 0206.12901Araki, H.; Woods, E. J. 79 1968 Relative Hamiltonian for faithful normal states of a von Neumann algebra. Zbl 0273.46054Araki, Huzihiro 77 1973 A lattice of von Neumann algebras associated with the quantum theory of a free Bose field. Zbl 0132.43805Araki, H. 68 1963 Relative entropy for states of von Neumann algebras. II. Zbl 0374.46055Araki, Huzihiro 64 1977 Von Neumann algebras of local observables for free scalar field. Zbl 0151.44401Araki, H. 58 1964 Gibbs states of a one dimensional quantum lattice. Zbl 0199.28001Araki, H. 55 1969 Hamiltonian formalism and the canonical commutation relations in quantum field theory. Zbl 0099.22906Araki, H. 52 1960 A remark on Piron’s paper. Zbl 0177.16103Amemiya, I.; Araki, H. 51 1966 Mathematical theory of quantum fields. Transl. from the Japanese by Ursula Carow-Watamura. Zbl 0998.81501Araki, Huzihiro 47 1999 Factorizable representation of current algebra. Non commutative extension of the Levy-Kinchin formula and cohomology of a solvable group with values in a Hilbert space. Zbl 0238.22014Araki, Huzihiro 45 1970 On the algebra of all local observables. Zbl 0125.21904Araki, H. 44 1964 Representations of canonical anticommutation relations. Zbl 0137.23903Araki, H.; Wyss, W. 40 1964 Equilibrium statistical mechanics of fermion lattice systems. Zbl 1105.82003Araki, Huzihiro; Moriya, Hajime 37 2003 On quasifree states of the canonical commutation relations. I. Zbl 0239.46066Araki, Huzihiro; Shiraishi, Masafumi 34 1971 Positive cones and \(L^p\)-spaces for von Neumann algebras. Zbl 0505.46046Araki, Huzihiro; Masuda, Tetsuya 33 1982 On uniqueness of KmMS states of one-dimensional quantum lattice systems. Zbl 0309.46054Araki, Huzihiro 32 1975 An inequality for Hilbert-Schmidt norm. Zbl 0468.47013Araki, Huzihiro; Yamagami, Shigeru 31 1981 Complete Boolean algebras of type I fa-tors. Zbl 0169.17601Araki, H.; Woods, E. J. 31 1966 Ground states of the XY-model. Zbl 0581.46058Araki, Huzihiro; Matsui, Taku 31 1985 Expansional in Banach algebras. Zbl 0257.46054Araki, Huzihiro 28 1973 Extension of the structure theorem of Borchers and its application to half-sided modular inclusions. Zbl 1088.46032Araki, Huzihiro; Zsidó, László 28 2005 Measurement of quantum mechanical operators. Zbl 0095.42502Araki, Huzihiro; Yanase, Mutsuo M. 28 1960 On the XY-model on two-sided infinite chain. Zbl 0544.46040Araki, Huzihiro 26 1984 Golden-Thompson and Peierls-Bogolubov inequalities for a general von Neumann algebra. Zbl 0274.46048Araki, Huzihiro 25 1973 On quasifree states of the canonical commutation relations. II. Zbl 0239.46067Araki, Huzihiro 24 1971 On a characterization of the state space of quantum mechanics. Zbl 0443.46046Araki, Huzihiro 23 1980 Type of von Neumann algebra associated with free field. Zbl 0132.43901Araki, H. 23 1964 On the diagonalization of a bilinear Hamiltonian by a Bogoliubov transformation. Zbl 0202.42101Araki, H. 21 1968 Indecomposable representations with invariant inner product. A theory of the Gupta-Bleuler triplet. Zbl 0582.22017Araki, Huzihiro 19 1985 On the equivalence of the KMS condition and the variational principle for quantum lattice systems. Zbl 0289.46048Araki, Huzihiro 18 1974 On a \(C^*\)-algebra approach to phase transition in the two-dimensional Ising model. Zbl 0535.46046Araki, Huzihiro; Evans, David E. 17 1983 Asymptotic time evolution of a partitioned infinite two-sided isotropic \(XY\)-chain. Zbl 1034.82008Ho, T. G.; Araki, Huzihiro 16 2000 On the homotopical significance of the type of von Neumann algebra factors. Zbl 0211.44004Araki, Huzihiro; Smith, Mi-Soo Bae; Smith, Larry 15 1971 Multiple time analyticity of a quantum statistical state satisfying the KMS boundary condition. Zbl 0195.28701Araki, Huzihiro 15 1968 Bures distance function and a generalization o f Sakai’s non-commutative Radon-Nikodym theorem. Zbl 0252.46075Araki, Huzihiro 14 1972 Bogoliubov automorphisms and Fock representations of canonical anticommutation relations. Zbl 0614.46058Araki, Huzihiro 14 1987 On quasi-equivalence of quasifree states of the canonical commutation relations. Zbl 0505.46052Araki, Huzihiro; Yamagami, Shigeru 14 1982 On asymptotic behavior of vacuum expectation values at large space-like separation. Zbl 0098.43201Araki, H. 13 1960 A remark on transition probability. Zbl 0515.46063Araki, Huzihiro; Raggio, Guido A. 13 1982 On a certain class of *-algebras of unbounded operators. Zbl 0511.47029Araki, Huzihiro; Jurzak, Jean Paul 12 1982 A remark on Machida-Namiki theory of measurement. Zbl 1097.81503Araki, Huzihiro 11 1980 Joint extension of states of subsystems for a CAR system. Zbl 1041.46038Araki, Huzihiro; Moriya, Hajime 11 2003 Properties of the momentum space analytic function. Zbl 0098.43105Araki, H.; Burgoyne, N. 11 1960 Asymptotic ratio set and property \(L_ \lambda^ \prime\). Zbl 0231.46100Araki, Huzihiro 10 1971 Structure of some von Neumann algebras with isolated discrete modular spectrum. Zbl 0269.46048Araki, Huzihiro 10 1973 On weak time-symmetric gravitational waves. Zbl 0087.23002Araki, Huzihiro 10 1959 On the dynamics and ergodic properties of the XY model. Zbl 0591.58019Araki, Huzihiro; Barouch, Eytan 10 1983 Jensen’s operator inequality for functions of several variables. Zbl 0956.47009Araki, Huzihiro; Hansen, Frank 9 2000 Remarks on spectra of modular operators of von Neumann algebras. Zbl 0245.46093Araki, Huzihiro 9 1972 On the definition of \(C^*\)-algebras. Zbl 0272.46033Araki, Huzihiro; Elliott, George A. 9 1973 On KMS boundary condition. Zbl 0195.28702Araki, Huzihiro; Miyata, Hideo 9 1968 On the connection of spin and commutation relations between different fields. Zbl 0119.43901Araki, Huzihiro 8 1961 Bogoliubov automorphisms and Fock representations of canonical anticommutation relations. Zbl 0618.46057Araki, Huzihiro 8 1987 On \({\mathcal O}_{n+1}\). Zbl 0562.46033Araki, H.; Carey, A. L.; Evans, D. E. 8 1984 Mathematical theory of quantum fields. Reprint of the 1999 hardback ed. Zbl 1170.81001Araki, Huzihiro 8 2009 Conditional expectations relative to a product state and the corresponding standard potentials. Zbl 1092.82006Araki, Huzihiro 7 2004 Quantum field theory of unstable particles. Zbl 0077.43202Araki, Huzihiro; Munakata, Yasuo; Kawaguchi, Masaaki; Goto, Tetsuo 7 1957 On the asymptotic behaviour of Wightman functions in space-like directions. Zbl 0161.23503Araki, H.; Hepp, K.; Ruelle, D. 7 1962 Symmetry and equilibrium states. Zbl 0341.46043Araki, Huzihiro; Kishimoto, Akitaka 7 1977 Symmetries in theory of local observables and the choice of the net of local algebras. Zbl 0774.46040Araki, Huzihiro 6 1992 Positive cone, Radon-Nikodym theorems, relative Hamiltonian and the Gibbs condition in statistical mechanics, an application of the Tomita-Takesaki theory. Zbl 0392.46043Araki, H. 6 1976 A classification of factors. II. Zbl 0198.17803Araki, H. 6 1969 On representations of the canonical commutation relations. Zbl 0203.57101Araki, H. 6 1971 Local thermodynamical stability of Fermion lattice systems. Zbl 1024.82002Araki, Huzihiro; Moriya, Hajime 6 2002 A generalization of Borchers theorem. Zbl 0112.43203Araki, H. 5 1963 On a pathology in indefinite metric inner product space. Zbl 0505.47028Araki, Huzihiro 5 1982 Normal positive linear mappings of norm 1 from a von Neumann algebra into its commutant and its application. Zbl 0255.46050Araki, Huzihiro 4 1973 The determination of a local or almost local field from a given current. Zbl 0149.46405Araki, Huzihiro; Haag, Rudolf; Schroer, Bert 4 1961 Addenda: Complete Boolean algebras of type I factors. Zbl 0169.17602Araki, H.; Woods, E. J. 4 1966 Analyticity of ground states of the XY-model. Zbl 0591.58018Araki, Huzihiro; Matsui, Taku 4 1986 An application of Dye’s theorem on projection lattices to orthogonally decomposable isomorphisms. Zbl 0696.46044Araki, Huzihiro 4 1989 Master symmetries of the XY model. Zbl 0718.46049Araki, Huzihiro 4 1990 A remark on an infinite tensor product of von Neumann algebras. Zbl 0257.46097Araki, Huzihiro; Nakagami, Yoshiomi 3 1972 Topologies induced by representations of the canonical commutation relations. Zbl 0258.46051Araki, H.; Woods, E. J. 3 1973 International symposium on mathematical problems in theoretical physics, January 23-29, 1975, Kyoto University, Kyoto/Japan. Zbl 0309.00009 3 1975 Operator algebras and their connections with topology and ergodic theory. Proceedings of the OATE Conference held in Buşteni, Romania, August 29 - September 9, 1983. With the assistance of Gr. Arsene. Zbl 0562.00005 3 1985 Standard potentials for non-even dynamics. Zbl 1113.82037Araki, Huzihiro 3 2006 Recent developments in the theory of operator algebras and their significance in theoretical physics. Zbl 0369.46064Araki, Huzihiro 2 1976 A remark on Bures distance function for normal states. Zbl 0225.46065Araki, Huzihiro 2 1971 One-parameter family of Radon-Nikodym theorems for states of a von Neumann algebra. Zbl 0296.46065Araki, Huzihiro 2 1974 Quantum-electrodynamical corrections to energy-levels of helium. Zbl 0077.44303Araki, Huzihiro 2 1957 Analyticity of correlation functions for the two-dimensional Ising model. Zbl 0613.60095Araki, Huzihiro 2 1986 On clustering property. Zbl 0342.46048Araki, Huzihiro; Kishimoto, Akitaka 2 1976 Positive cones for von Neumann algebras. Zbl 0498.46046Araki, Huzihiro 2 1982 Operator algebra approach to soluble models of quantum spin lattice systems. Zbl 0841.46057Araki, Huzihiro 1 1993 On KMS states of a \(C^*\) dynamical system. Zbl 0389.46054Araki, Huzihiro 1 1978 Some topics in quantum statistical mechanics. Zbl 0434.46049Araki, Huzihiro 1 1980 Some infinite-dimensional algebras arising in spin systems and in particle physics and their grand algebra. Zbl 0974.17030Araki, Huzihiro; Flato, Moshé; Michéa, Sébastien; Sternheimer, Daniel 1 1998 One dimensional quantum lattice system. Zbl 0239.46068Araki, Huzihiro 1 1971 Wightman functions, retarded functions and their analytic continuations. Zbl 0108.42101Araki, H. 1 1961 Super-derivations and associated standard super-potentials. Zbl 1134.82002Araki, H. 1 2007 Dynamics and potentials. Zbl 1134.82001Araki, Huzihiro 1 2007 Selfadjointness and positivity of a certain partial differential operator associated with the Kerr metric in general relativity. Zbl 0705.47039Araki, Huzihiro 1 1989 Some of the legacy of John von Neumann in physics: Theory of measurement, quantum logic, and von Neumann algebras in physics. Zbl 0707.46049Araki, Huzihiro 1 1990 Theory of von Neumann algebras and quantum statistical mechanics. Zbl 0505.46053Araki, H. 1 1982 Some contact points of mathematics and physics. Zbl 0515.46062Araki, Huzihiro 1 1983 Mathematical theory of quantum fields. Reprint of the 1999 hardback ed. Zbl 1170.81001Araki, Huzihiro 8 2009 Super-derivations and associated standard super-potentials. Zbl 1134.82002Araki, H. 1 2007 Dynamics and potentials. Zbl 1134.82001Araki, Huzihiro 1 2007 Standard potentials for non-even dynamics. Zbl 1113.82037Araki, Huzihiro 3 2006 Extension of the structure theorem of Borchers and its application to half-sided modular inclusions. Zbl 1088.46032Araki, Huzihiro; Zsidó, László 28 2005 Conditional expectations relative to a product state and the corresponding standard potentials. Zbl 1092.82006Araki, Huzihiro 7 2004 Equilibrium statistical mechanics of fermion lattice systems. Zbl 1105.82003Araki, Huzihiro; Moriya, Hajime 37 2003 Joint extension of states of subsystems for a CAR system. Zbl 1041.46038Araki, Huzihiro; Moriya, Hajime 11 2003 Local thermodynamical stability of Fermion lattice systems. Zbl 1024.82002Araki, Huzihiro; Moriya, Hajime 6 2002 Asymptotic time evolution of a partitioned infinite two-sided isotropic \(XY\)-chain. Zbl 1034.82008Ho, T. G.; Araki, Huzihiro 16 2000 Jensen’s operator inequality for functions of several variables. Zbl 0956.47009Araki, Huzihiro; Hansen, Frank 9 2000 Mathematical theory of quantum fields. Transl. from the Japanese by Ursula Carow-Watamura. Zbl 0998.81501Araki, Huzihiro 47 1999 Some infinite-dimensional algebras arising in spin systems and in particle physics and their grand algebra. Zbl 0974.17030Araki, Huzihiro; Flato, Moshé; Michéa, Sébastien; Sternheimer, Daniel 1 1998 Operator algebra approach to soluble models of quantum spin lattice systems. Zbl 0841.46057Araki, Huzihiro 1 1993 Symmetries in theory of local observables and the choice of the net of local algebras. Zbl 0774.46040Araki, Huzihiro 6 1992 On an inequality of Lieb and Thirring. Zbl 0705.47020Araki, Huzihiro 85 1990 Master symmetries of the XY model. Zbl 0718.46049Araki, Huzihiro 4 1990 Some of the legacy of John von Neumann in physics: Theory of measurement, quantum logic, and von Neumann algebras in physics. Zbl 0707.46049Araki, Huzihiro 1 1990 An application of Dye’s theorem on projection lattices to orthogonally decomposable isomorphisms. Zbl 0696.46044Araki, Huzihiro 4 1989 Selfadjointness and positivity of a certain partial differential operator associated with the Kerr metric in general relativity. Zbl 0705.47039Araki, Huzihiro 1 1989 Bogoliubov automorphisms and Fock representations of canonical anticommutation relations. Zbl 0614.46058Araki, Huzihiro 14 1987 Bogoliubov automorphisms and Fock representations of canonical anticommutation relations. Zbl 0618.46057Araki, Huzihiro 8 1987 Analyticity of ground states of the XY-model. Zbl 0591.58018Araki, Huzihiro; Matsui, Taku 4 1986 Analyticity of correlation functions for the two-dimensional Ising model. Zbl 0613.60095Araki, Huzihiro 2 1986 Ground states of the XY-model. Zbl 0581.46058Araki, Huzihiro; Matsui, Taku 31 1985 Indecomposable representations with invariant inner product. A theory of the Gupta-Bleuler triplet. Zbl 0582.22017Araki, Huzihiro 19 1985 Operator algebras and their connections with topology and ergodic theory. Proceedings of the OATE Conference held in Buşteni, Romania, August 29 - September 9, 1983. With the assistance of Gr. Arsene. Zbl 0562.00005 3 1985 On the XY-model on two-sided infinite chain. Zbl 0544.46040Araki, Huzihiro 26 1984 On \({\mathcal O}_{n+1}\). Zbl 0562.46033Araki, H.; Carey, A. L.; Evans, D. E. 8 1984 On a \(C^*\)-algebra approach to phase transition in the two-dimensional Ising model. Zbl 0535.46046Araki, Huzihiro; Evans, David E. 17 1983 On the dynamics and ergodic properties of the XY model. Zbl 0591.58019Araki, Huzihiro; Barouch, Eytan 10 1983 Some contact points of mathematics and physics. Zbl 0515.46062Araki, Huzihiro 1 1983 Positive cones and \(L^p\)-spaces for von Neumann algebras. Zbl 0505.46046Araki, Huzihiro; Masuda, Tetsuya 33 1982 On quasi-equivalence of quasifree states of the canonical commutation relations. Zbl 0505.46052Araki, Huzihiro; Yamagami, Shigeru 14 1982 A remark on transition probability. Zbl 0515.46063Araki, Huzihiro; Raggio, Guido A. 13 1982 On a certain class of *-algebras of unbounded operators. Zbl 0511.47029Araki, Huzihiro; Jurzak, Jean Paul 12 1982 On a pathology in indefinite metric inner product space. Zbl 0505.47028Araki, Huzihiro 5 1982 Positive cones for von Neumann algebras. Zbl 0498.46046Araki, Huzihiro 2 1982 Theory of von Neumann algebras and quantum statistical mechanics. Zbl 0505.46053Araki, H. 1 1982 An inequality for Hilbert-Schmidt norm. Zbl 0468.47013Araki, Huzihiro; Yamagami, Shigeru 31 1981 On a characterization of the state space of quantum mechanics. Zbl 0443.46046Araki, Huzihiro 23 1980 A remark on Machida-Namiki theory of measurement. Zbl 1097.81503Araki, Huzihiro 11 1980 Some topics in quantum statistical mechanics. Zbl 0434.46049Araki, Huzihiro 1 1980 On KMS states of a \(C^*\) dynamical system. Zbl 0389.46054Araki, Huzihiro 1 1978 Relative entropy for states of von Neumann algebras. II. Zbl 0374.46055Araki, Huzihiro 64 1977 Symmetry and equilibrium states. Zbl 0341.46043Araki, Huzihiro; Kishimoto, Akitaka 7 1977 Relative entropy of states of von Neumann algebras. Zbl 0326.46031Araki, Huzihiro 130 1976 Positive cone, Radon-Nikodym theorems, relative Hamiltonian and the Gibbs condition in statistical mechanics, an application of the Tomita-Takesaki theory. Zbl 0392.46043Araki, H. 6 1976 Recent developments in the theory of operator algebras and their significance in theoretical physics. Zbl 0369.46064Araki, Huzihiro 2 1976 On clustering property. Zbl 0342.46048Araki, Huzihiro; Kishimoto, Akitaka 2 1976 On uniqueness of KmMS states of one-dimensional quantum lattice systems. Zbl 0309.46054Araki, Huzihiro 32 1975 International symposium on mathematical problems in theoretical physics, January 23-29, 1975, Kyoto University, Kyoto/Japan. Zbl 0309.00009 3 1975 Some properties of modular conjugation operator of von Neumann algebras and a non-commutative Radon-Nikodym theorem with a chain rule. Zbl 0287.46074Araki, Huzihiro 80 1974 On the equivalence of the KMS condition and the variational principle for quantum lattice systems. Zbl 0289.46048Araki, Huzihiro 18 1974 One-parameter family of Radon-Nikodym theorems for states of a von Neumann algebra. Zbl 0296.46065Araki, Huzihiro 2 1974 Relative Hamiltonian for faithful normal states of a von Neumann algebra. Zbl 0273.46054Araki, Huzihiro 77 1973 Expansional in Banach algebras. Zbl 0257.46054Araki, Huzihiro 28 1973 Golden-Thompson and Peierls-Bogolubov inequalities for a general von Neumann algebra. Zbl 0274.46048Araki, Huzihiro 25 1973 Structure of some von Neumann algebras with isolated discrete modular spectrum. Zbl 0269.46048Araki, Huzihiro 10 1973 On the definition of \(C^*\)-algebras. Zbl 0272.46033Araki, Huzihiro; Elliott, George A. 9 1973 Normal positive linear mappings of norm 1 from a von Neumann algebra into its commutant and its application. Zbl 0255.46050Araki, Huzihiro 4 1973 Topologies induced by representations of the canonical commutation relations. Zbl 0258.46051Araki, H.; Woods, E. J. 3 1973 Bures distance function and a generalization o f Sakai’s non-commutative Radon-Nikodym theorem. Zbl 0252.46075Araki, Huzihiro 14 1972 Remarks on spectra of modular operators of von Neumann algebras. Zbl 0245.46093Araki, Huzihiro 9 1972 A remark on an infinite tensor product of von Neumann algebras. Zbl 0257.46097Araki, Huzihiro; Nakagami, Yoshiomi 3 1972 On quasifree states of CAR and Bogoliubov automorphisms. Zbl 0227.46061Araki, Huzihiro 101 1971 On quasifree states of the canonical commutation relations. I. Zbl 0239.46066Araki, Huzihiro; Shiraishi, Masafumi 34 1971 On quasifree states of the canonical commutation relations. II. Zbl 0239.46067Araki, Huzihiro 24 1971 On the homotopical significance of the type of von Neumann algebra factors. Zbl 0211.44004Araki, Huzihiro; Smith, Mi-Soo Bae; Smith, Larry 15 1971 Asymptotic ratio set and property \(L_ \lambda^ \prime\). Zbl 0231.46100Araki, Huzihiro 10 1971 On representations of the canonical commutation relations. Zbl 0203.57101Araki, H. 6 1971 A remark on Bures distance function for normal states. Zbl 0225.46065Araki, Huzihiro 2 1971 One dimensional quantum lattice system. Zbl 0239.46068Araki, Huzihiro 1 1971 Factorizable representation of current algebra. Non commutative extension of the Levy-Kinchin formula and cohomology of a solvable group with values in a Hilbert space. Zbl 0238.22014Araki, Huzihiro 45 1970 Gibbs states of a one dimensional quantum lattice. Zbl 0199.28001Araki, H. 55 1969 A classification of factors. II. Zbl 0198.17803Araki, H. 6 1969 A classification of factors. Zbl 0206.12901Araki, H.; Woods, E. J. 79 1968 On the diagonalization of a bilinear Hamiltonian by a Bogoliubov transformation. Zbl 0202.42101Araki, H. 21 1968 Multiple time analyticity of a quantum statistical state satisfying the KMS boundary condition. Zbl 0195.28701Araki, Huzihiro 15 1968 On KMS boundary condition. Zbl 0195.28702Araki, Huzihiro; Miyata, Hideo 9 1968 A remark on Piron’s paper. Zbl 0177.16103Amemiya, I.; Araki, H. 51 1966 Complete Boolean algebras of type I fa-tors. Zbl 0169.17601Araki, H.; Woods, E. J. 31 1966 Addenda: Complete Boolean algebras of type I factors. Zbl 0169.17602Araki, H.; Woods, E. J. 4 1966 Von Neumann algebras of local observables for free scalar field. Zbl 0151.44401Araki, H. 58 1964 On the algebra of all local observables. Zbl 0125.21904Araki, H. 44 1964 Representations of canonical anticommutation relations. Zbl 0137.23903Araki, H.; Wyss, W. 40 1964 Type of von Neumann algebra associated with free field. Zbl 0132.43901Araki, H. 23 1964 A lattice of von Neumann algebras associated with the quantum theory of a free Bose field. Zbl 0132.43805Araki, H. 68 1963 A generalization of Borchers theorem. Zbl 0112.43203Araki, H. 5 1963 On the asymptotic behaviour of Wightman functions in space-like directions. Zbl 0161.23503Araki, H.; Hepp, K.; Ruelle, D. 7 1962 On the connection of spin and commutation relations between different fields. Zbl 0119.43901Araki, Huzihiro 8 1961 The determination of a local or almost local field from a given current. Zbl 0149.46405Araki, Huzihiro; Haag, Rudolf; Schroer, Bert 4 1961 Wightman functions, retarded functions and their analytic continuations. Zbl 0108.42101Araki, H. 1 1961 Hamiltonian formalism and the canonical commutation relations in quantum field theory. Zbl 0099.22906Araki, H. 52 1960 Measurement of quantum mechanical operators. Zbl 0095.42502Araki, Huzihiro; Yanase, Mutsuo M. 28 1960 On asymptotic behavior of vacuum expectation values at large space-like separation. Zbl 0098.43201Araki, H. 13 1960 Properties of the momentum space analytic function. Zbl 0098.43105Araki, H.; Burgoyne, N. 11 1960 On weak time-symmetric gravitational waves. Zbl 0087.23002Araki, Huzihiro 10 1959 Quantum field theory of unstable particles. Zbl 0077.43202Araki, Huzihiro; Munakata, Yasuo; Kawaguchi, Masaaki; Goto, Tetsuo 7 1957 Quantum-electrodynamical corrections to energy-levels of helium. Zbl 0077.44303Araki, Huzihiro 2 1957 all cited Publications top 5 cited Publications all top 5 Cited by 1,156 Authors 33 Araki, Huzihiro 31 Hiai, Fumio 30 Longo, Roberto 26 Petz, Dénes 18 Buchholz, Detlev 15 Carey, Alan L. 15 Matsui, Taku 15 Summers, Stephen Jeffrey 14 Pillet, Claude-Alain 14 Werner, Reinhard F. 13 Bru, Jean-Bernard 13 Connes, Alain 13 Ohya, Masanori 12 Albeverio, Sergio A. 12 Merkli, Marco 12 Ogata, Yoshiko 11 Evans, David E. 11 Fredenhagen, Klaus 11 Jakšić, Vojkan 11 Jørgensen, Palle E. T. 11 Kosaki, Hideki 11 Tanimoto, Yoh 10 Doplicher, Sergio 10 Fröhlich, Jürg Martin 10 Hollands, Stefan 10 Narnhofer, Heide 10 Neeb, Karl-Hermann 10 Park, Yong Moon 10 Streater, Raymond F. 10 Vershik, Anatoliĭ Moiseevich 9 Accardi, Luigi 9 Bratteli, Ola 9 Dvurečenskij, Anatolij 9 Dybalski, Wojciech 9 Kishimoto, Akitaka 9 Kittaneh, Fuad 9 Klauder, John Rider 9 Robinson, Derek W. 9 Watanabe, Noboru 9 Yamagami, Shigeru 8 Borchers, Hans-Jürgen 8 Fidaleo, Francesco 8 Graev, Mark Iosifovich 8 Lechner, Gandalf 8 Mukhamedov, Farruh Maksutovich 8 Pinamonti, Nicola 8 Størmer, Erling 8 Takesaki, Masamichi 8 Tomamichel, Marco 8 Wichmann, Eyvind H. 7 Bruneau, Laurent 7 Chetcuti, Emmanuel 7 Faulkner, Thomas 7 Golodets, Valentin Yakovlevich 7 Haagerup, Uffe Valentin 7 Hansen, Frank-Peter 7 Høegh-Krohn, Raphael J. 7 Lieb, Elliott Hershel 7 Morinelli, Vincenzo 7 Nakagami, Yoshiomi 7 Olkiewicz, Robert 7 Verch, Rainer 6 Aschbacher, Walter H. 6 Bach, Volker 6 Barnum, Howard 6 Berta, Mario 6 Buhagiar, David 6 Carlen, Eric Anders 6 D’Antoni, Claudio 6 Dappiaggi, Claudio 6 Doyon, Benjamin 6 Drago, Nicolò 6 Gérard, Christian 6 Joye, Alain 6 Junge, Marius 6 Moretti, Valter 6 Moriya, Hajime 6 Mosonyi, Milán 6 Ruzzi, Giuseppe 6 Schroer, Bert 6 Streit, Ludwig 5 Belavkin, Viacheslav 5 Bhatia, Rajendra 5 De Siqueira Pedra, Walter 5 Driessler, Wulf 5 Fewster, Christopher John 5 Guido, Daniele 5 Hegerfeldt, Gerhard C. 5 Jäkel, Christian D. 5 Kawamura, Katsunori 5 Majewski, Wladyslaw Adam 5 Naaijkens, Pieter 5 Ozawa, Masanao 5 Pedersen, Gert Kjærgård 5 Raggio, Guido A. 5 Roberts, John Elias 5 Ruskai, Mary Beth 5 Seo, Yuki 5 Souissi, Abdessatar 5 Thirring, Walter E. ...and 1,056 more Authors all top 5 Cited in 185 Serials 268 Communications in Mathematical Physics 145 Journal of Mathematical Physics 78 Journal of Functional Analysis 64 Letters in Mathematical Physics 57 Reviews in Mathematical Physics 53 Publications of the Research Institute for Mathematical Sciences, Kyoto University 36 Journal of Statistical Physics 36 Annales Henri Poincaré 34 Linear Algebra and its Applications 30 International Journal of Theoretical Physics 30 Journal of High Energy Physics 22 Infinite Dimensional Analysis, Quantum Probability and Related Topics 21 Foundations of Physics 18 Annales de l’Institut Henri Poincaré. Physique Théorique 16 Proceedings of the American Mathematical Society 15 Transactions of the American Mathematical Society 14 Functional Analysis and its Applications 13 Journal of Mathematical Analysis and Applications 13 Reports on Mathematical Physics 12 Journal of Geometry and Physics 11 Theoretical and Mathematical Physics 10 Advances in Mathematics 10 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 9 Open Systems & Information Dynamics 9 Il Nuovo Cimento, X. Series, A 9 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics 8 Journal of Soviet Mathematics 8 Mathematische Annalen 8 International Journal of Mathematics 7 Il Nuovo Cimento, X. Series 6 Linear and Multilinear Algebra 6 Nuclear Physics. B 6 Annales de l’Institut Fourier 5 Mathematical Proceedings of the Cambridge Philosophical Society 5 Physics Reports 5 Ukrainian Mathematical Journal 5 Acta Mathematica 5 Quantum Information Processing 5 Physical Review, II. Series 5 Journal of Noncommutative Geometry 4 General Relativity and Gravitation 4 Reviews of Modern Physics 4 Inventiones Mathematicae 4 Mathematische Nachrichten 4 Mathematische Zeitschrift 4 Tôhoku Mathematical Journal. Second Series 4 Acta Applicandae Mathematicae 4 Probability Theory and Related Fields 4 Expositiones Mathematicae 4 New Journal of Physics 4 International Journal of Quantum Information 4 Bulletin of the American Mathematical Society 4 Proceedings of the Japan Academy 4 Journal of Physics A: Mathematical and Theoretical 3 Communications on Pure and Applied Mathematics 3 Israel Journal of Mathematics 3 Mathematical Notes 3 Rocky Mountain Journal of Mathematics 3 The Annals of Probability 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Bulletin de la Société Mathématique de France 3 Integral Equations and Operator Theory 3 Rendiconti del Seminario Matemàtico e Fisico di Milano 3 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 3 Ergodic Theory and Dynamical Systems 3 Acta Mathematica Hungarica 3 Sugaku Expositions 3 Algebras and Representation Theory 3 Acta Mathematica Sinica. English Series 3 Lobachevskii Journal of Mathematics 3 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 3 Advances in Operator Theory 2 International Journal of Modern Physics B 2 Classical and Quantum Gravity 2 Indian Journal of Pure & Applied Mathematics 2 Studia Mathematica 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Archiv der Mathematik 2 Compositio Mathematica 2 Czechoslovak Mathematical Journal 2 Duke Mathematical Journal 2 Journal of Algebra 2 Journal of Multivariate Analysis 2 Journal für die Reine und Angewandte Mathematik 2 Manuscripta Mathematica 2 Mathematica Slovaca 2 Memoirs of the American Mathematical Society 2 Order 2 Annals of Physics 2 Bulletin of the American Mathematical Society. New Series 2 Russian Journal of Mathematical Physics 2 Journal of Mathematical Sciences (New York) 2 Positivity 2 Erkenntnis 2 Physical Review Letters 2 Journal of Statistical Mechanics: Theory and Experiment 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Proceedings of the Steklov Institute of Mathematics 2 Operators and Matrices 2 Kyoto Journal of Mathematics ...and 85 more Serials all top 5 Cited in 54 Fields 690 Functional analysis (46-XX) 664 Quantum theory (81-XX) 240 Operator theory (47-XX) 240 Statistical mechanics, structure of matter (82-XX) 103 Probability theory and stochastic processes (60-XX) 82 Topological groups, Lie groups (22-XX) 79 Information and communication theory, circuits (94-XX) 71 Linear and multilinear algebra; matrix theory (15-XX) 57 Relativity and gravitational theory (83-XX) 37 Differential geometry (53-XX) 34 Partial differential equations (35-XX) 34 Global analysis, analysis on manifolds (58-XX) 30 Dynamical systems and ergodic theory (37-XX) 29 Nonassociative rings and algebras (17-XX) 26 Mathematical logic and foundations (03-XX) 23 Measure and integration (28-XX) 19 Order, lattices, ordered algebraic structures (06-XX) 19 Associative rings and algebras (16-XX) 19 Abstract harmonic analysis (43-XX) 16 Statistics (62-XX) 12 Group theory and generalizations (20-XX) 7 Number theory (11-XX) 7 Category theory; homological algebra (18-XX) 7 Real functions (26-XX) 7 Functions of a complex variable (30-XX) 7 Mechanics of particles and systems (70-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 General topology (54-XX) 6 Numerical analysis (65-XX) 5 Combinatorics (05-XX) 5 Algebraic geometry (14-XX) 5 Geometry (51-XX) 5 Manifolds and cell complexes (57-XX) 5 Computer science (68-XX) 4 General and overarching topics; collections (00-XX) 4 History and biography (01-XX) 4 Potential theory (31-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Optics, electromagnetic theory (78-XX) 3 \(K\)-theory (19-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Algebraic topology (55-XX) 2 Special functions (33-XX) 1 General algebraic systems (08-XX) 1 Commutative algebra (13-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) 1 Fluid mechanics (76-XX) 1 Astronomy and astrophysics (85-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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