Edit Profile (opens in new tab) Murphy, Gerard J. Co-Author Distance Author ID: murphy.gerard-j Published as: Murphy, G. J.; Murphy, Gerard J.; Murphy, Gerald J. more...less Documents Indexed: 75 Publications since 1937, including 2 Books 2 Further Contributions Biographic References: 1 Publication Co-Authors: 11 Co-Authors with 22 Joint Publications 169 Co-Co-Authors all top 5 Co-Authors 53 single-authored 9 West, Timothy Trevor 6 Tuset, Lars 3 Bédos, Erik 3 Smyth, M. R. F. 2 Brown, Gavin 2 de Branges de Bourcia, Louis 2 Fong, Che-Kao 2 Gamelin, Theodore W. 2 Gorin, Evgeniĭ Alekseevich 2 Igari, Satoru 2 Kustermans, Johan 2 Lin, Vladimir Ya. 2 Meksawan, T. 2 Moran, William 2 Sarason, Donald Erik 2 Wermer, John 1 Barnes, Bruce A. 1 Marcoux, Laurent W. 1 Mathieu, Martin 1 Phillips, N. Christopher 1 Radjavi, Heydar all top 5 Serials 9 Integral Equations and Operator Theory 8 Proceedings of the American Mathematical Society 7 Proceedings of the Royal Irish Academy. Section A, Mathematical and Physical Sciences 6 Irish Mathematical Society Bulletin 3 Canadian Mathematical Bulletin 3 Pacific Journal of Mathematics 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Transactions of the American Mathematical Society 3 Journal of Operator Theory 2 Studia Mathematica 2 Journal of Geometry and Physics 2 Commentationes Mathematicae Universitatis Carolinae 2 Glasgow Mathematical Journal 2 Journal of Functional Analysis 2 Mathematische Zeitschrift 1 Journal of the Franklin Institute 1 Rocky Mountain Journal of Mathematics 1 Acta Scientiarum Mathematicarum 1 Annales Academiae Scientiarum Fennicae. Series A I. Mathematica 1 Archiv der Mathematik 1 Bulletin of the London Mathematical Society 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Soviet Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Regelungstechnik 1 Advanced Studies in Contemporary Mathematics (Pusan) 1 Advanced Studies in Contemporary Mathematics (Kyungshang) 1 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 1 Research Notes in Mathematics (San Francisco) all top 5 Fields 53 Functional analysis (46-XX) 39 Operator theory (47-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Associative rings and algebras (16-XX) 5 Topological groups, Lie groups (22-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 3 Abstract harmonic analysis (43-XX) 3 Quantum theory (81-XX) 2 Nonassociative rings and algebras (17-XX) 2 Group theory and generalizations (20-XX) 2 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 58 Publications have been cited 831 times in 707 Documents Cited by ▼ Year ▼ C\({}^*\)-algebras and operator theory. Zbl 0714.46041Murphy, Gerard J. 333 1990 Co-amenability of compact quantum groups. Zbl 1011.46056Bédos, E.; Murphy, G. J.; Tuset, L. 53 2001 Ordered groups and Toeplitz algebras. Zbl 0656.47020Murphy, G. J. 50 1987 Riesz and Fredholm theory in Banach algebras. Zbl 0534.46034Barnes, B. A.; Murphy, G. J.; Smyth, M. R. F.; West, T. T. 49 1982 Positive definite kernels and Hilbert \(C^*\)-modules. Zbl 0886.46057Murphy, Gerard J. 32 1997 Differential calculi over quantum groups and twisted cyclic cocycles. Zbl 1029.46114Kustermans, J.; Murphy, G. J.; Tuset, L. 32 2003 Derivations mapping into the radical. Zbl 0714.46038Mathieu, Martin; Murphy, Gerard J. 27 1991 Crossed products of \(C^*\)-algebras by endomorphisms. Zbl 0843.46050Murphy, Gerard J. 26 1996 Crossed products of \(C^*\)-algebras by semigroups of automorphisms. Zbl 0801.46077Murphy, Gerard J. 19 1994 Ordered groups and crossed products of \(C^*\)-algebras. Zbl 0741.46026Murphy, G. J. 18 1991 Toeplitz operators and algebras. Zbl 0725.47026Murphy, G. J. 14 1991 Continuity of the spectrum and spectral radius. Zbl 0474.46038Murphy, Gerard J. 12 1981 Amenability and co-amenability of algebraic quantum groups II. Zbl 1034.46063Bédos, E.; Murphy, G. J.; Tuset, L. 11 2003 Amenability and coamenability of algebraic quantum groups. Zbl 1022.46043Bédos, Erik; Murphy, Gerard J.; Tuset, Lars 11 2002 Diagonality in \(C^*\)-algebras. Zbl 0658.46051Murphy, G. J. 11 1988 \(C^*\)-algebras generated by commuting isometries. Zbl 0853.46055Murphy, Gerard J. 10 1996 Unitarily-invariant linear spaces in \(C^*\)-algebras. Zbl 0905.46035Marcoux, L. W.; Murphy, G. J. 9 1998 Quantum groups, differential calculi and the eigenvalues of the Laplacian. Zbl 1082.58005Kustermans, J.; Murphy, G. J.; Tuset, L. 8 2005 Fredholm index theory and the trace. Zbl 0853.47008Murphy, Gerard J. 7 1994 Primitivity conditions for full group \(C^*\)-algebras. Zbl 1060.46041Murphy, G. J. 7 2003 Toeplitz operators on generalised \(H^ 2\) spaces. Zbl 0797.47013Murphy, Gerard J. 7 1992 Spectral radius formulae. Zbl 0453.46037Murphy, G. J.; West, T. T. 7 1979 An index theorem for Toeplitz operators. Zbl 1052.47509Murphy, Gerard J. 6 1993 Triangularizable algebras of compact operators. Zbl 0492.47023Murphy, G. J. 6 1982 Averages of projections. Zbl 0614.47011Fong, C. K.; Murphy, G. J. 6 1985 Uniqueness of the trace and simplicity. Zbl 0963.46041Murphy, Gerard J. 6 2000 Aspects of compact quantum group theory. Zbl 1052.46060Murphy, G. J.; Tuset, L. 5 2004 Topological and analytical indices in \(C^{\ast}\)-algebras. Zbl 1100.47026Murphy, G. J. 5 2006 Extensions of multipliers and dilations of projective isometric representations. Zbl 0860.47003Murphy, Gerard J. 4 1997 Inner functions and Toeplitz operators. Zbl 0792.47029Murphy, Gerard J. 4 1993 The analytic rank of a \(C^*\)-algebra. Zbl 0810.46066Murphy, Gerard J. 4 1992 Optimal synthesis of linear pulse-width-modulated computer-controlled systems. Zbl 0143.13002Murphy, G. J.; Meksawan, T. 4 1964 Aspects of the theory of derivations. Zbl 0811.46045Murphy, Gerard J. 4 1994 Spectral and index theory for Toeplitz operators. Zbl 0706.47015Murphy, G. J. 4 1991 Toeplitz operators associated to unimodular algebras. Zbl 1044.46042Murphy, Gerard J. 3 2003 Simplicity of crossed products by endomorphisms. Zbl 1018.46035Murphy, Gerard J. 3 2002 Almost-invertible Toeplitz operators and K-theory. Zbl 0779.47024Murphy, Gerard J. 3 1992 Decomposition of index-zero Fredholm operators. Zbl 0474.47007Murphy, G. J.; West, T. T. 3 1981 Lie ideals in associative algebras. Zbl 0544.16013Murphy, G. J. 3 1984 Ideals and Lie ideals of operators. Zbl 0659.47040Fong, C. K.; Murphy, G. J. 3 1987 The index theory associated to a non-finite trace on a \(C^*\)-algebra. Zbl 1087.46040Murphy, G. J. 2 2005 Toeplitz operators. Zbl 0962.47503Murphy, G. J. 2 1989 Partially ordered groups. Zbl 0804.06016Murphy, Gerard J. 2 1992 Self-dual subnormal operators. Zbl 0505.47014Murphy, G. J. 2 1982 Commutative non-Archimedean \(C^*\)-algebras. Zbl 0393.46054Murphy, Gerard J. 2 1978 The index group, the exponential spectrum, and some spectral containment theorems. Zbl 0741.47001Murphy, Gerald J. 2 1992 Invariant ideals in Toeplitz algebras. Zbl 0951.46030Murphy, Gerard J. 2 1999 Associative and Lie subalgebras of finite codimension. Zbl 0556.46031Murphy, G. J.; Radjavi, H. 2 1985 \(C^*\)-algebras with the approximate positive factorization property. Zbl 0855.46033Murphy, G. J.; Phillips, N. C. 1 1996 \(C^*\)-dynamical systems and covariance algebras. Zbl 0771.46034Murphy, G. J. 1 1991 Decomposition algebras of Riesz operators. Zbl 0448.47011Murphy, G. J.; West, T. T. 1 1980 Lifting sets and the Calkin algebra. Zbl 0483.47002Murphy, G. J. 1 1982 Hyperinvariant subspaces and the topology on Lat A. Zbl 0488.47003Murphy, G. J. 1 1984 Products of positive operators. Zbl 0887.47018Murphy, Gerard J. 1 1997 Products of Toeplitz operators. Zbl 0902.47027Murphy, Gerard J. 1 1997 Compact topological semigroups. Zbl 0909.22005Abodayeh, K.; Murphy, G. J. 1 1997 Representation and index theory for Toeplitz operators. Zbl 1202.47033Murphy, G. J. 1 2010 Optimum design of nonlinear sampled-data control systems. Zbl 0112.06204Meksawan, T.; Murphy, G. J. 1 1963 Representation and index theory for Toeplitz operators. Zbl 1202.47033Murphy, G. J. 1 2010 Topological and analytical indices in \(C^{\ast}\)-algebras. Zbl 1100.47026Murphy, G. J. 5 2006 Quantum groups, differential calculi and the eigenvalues of the Laplacian. Zbl 1082.58005Kustermans, J.; Murphy, G. J.; Tuset, L. 8 2005 The index theory associated to a non-finite trace on a \(C^*\)-algebra. Zbl 1087.46040Murphy, G. J. 2 2005 Aspects of compact quantum group theory. Zbl 1052.46060Murphy, G. J.; Tuset, L. 5 2004 Differential calculi over quantum groups and twisted cyclic cocycles. Zbl 1029.46114Kustermans, J.; Murphy, G. J.; Tuset, L. 32 2003 Amenability and co-amenability of algebraic quantum groups II. Zbl 1034.46063Bédos, E.; Murphy, G. J.; Tuset, L. 11 2003 Primitivity conditions for full group \(C^*\)-algebras. Zbl 1060.46041Murphy, G. J. 7 2003 Toeplitz operators associated to unimodular algebras. Zbl 1044.46042Murphy, Gerard J. 3 2003 Amenability and coamenability of algebraic quantum groups. Zbl 1022.46043Bédos, Erik; Murphy, Gerard J.; Tuset, Lars 11 2002 Simplicity of crossed products by endomorphisms. Zbl 1018.46035Murphy, Gerard J. 3 2002 Co-amenability of compact quantum groups. Zbl 1011.46056Bédos, E.; Murphy, G. J.; Tuset, L. 53 2001 Uniqueness of the trace and simplicity. Zbl 0963.46041Murphy, Gerard J. 6 2000 Invariant ideals in Toeplitz algebras. Zbl 0951.46030Murphy, Gerard J. 2 1999 Unitarily-invariant linear spaces in \(C^*\)-algebras. Zbl 0905.46035Marcoux, L. W.; Murphy, G. J. 9 1998 Positive definite kernels and Hilbert \(C^*\)-modules. Zbl 0886.46057Murphy, Gerard J. 32 1997 Extensions of multipliers and dilations of projective isometric representations. Zbl 0860.47003Murphy, Gerard J. 4 1997 Products of positive operators. Zbl 0887.47018Murphy, Gerard J. 1 1997 Products of Toeplitz operators. Zbl 0902.47027Murphy, Gerard J. 1 1997 Compact topological semigroups. Zbl 0909.22005Abodayeh, K.; Murphy, G. J. 1 1997 Crossed products of \(C^*\)-algebras by endomorphisms. Zbl 0843.46050Murphy, Gerard J. 26 1996 \(C^*\)-algebras generated by commuting isometries. Zbl 0853.46055Murphy, Gerard J. 10 1996 \(C^*\)-algebras with the approximate positive factorization property. Zbl 0855.46033Murphy, G. J.; Phillips, N. C. 1 1996 Crossed products of \(C^*\)-algebras by semigroups of automorphisms. Zbl 0801.46077Murphy, Gerard J. 19 1994 Fredholm index theory and the trace. Zbl 0853.47008Murphy, Gerard J. 7 1994 Aspects of the theory of derivations. Zbl 0811.46045Murphy, Gerard J. 4 1994 An index theorem for Toeplitz operators. Zbl 1052.47509Murphy, Gerard J. 6 1993 Inner functions and Toeplitz operators. Zbl 0792.47029Murphy, Gerard J. 4 1993 Toeplitz operators on generalised \(H^ 2\) spaces. Zbl 0797.47013Murphy, Gerard J. 7 1992 The analytic rank of a \(C^*\)-algebra. Zbl 0810.46066Murphy, Gerard J. 4 1992 Almost-invertible Toeplitz operators and K-theory. Zbl 0779.47024Murphy, Gerard J. 3 1992 Partially ordered groups. Zbl 0804.06016Murphy, Gerard J. 2 1992 The index group, the exponential spectrum, and some spectral containment theorems. Zbl 0741.47001Murphy, Gerald J. 2 1992 Derivations mapping into the radical. Zbl 0714.46038Mathieu, Martin; Murphy, Gerard J. 27 1991 Ordered groups and crossed products of \(C^*\)-algebras. Zbl 0741.46026Murphy, G. J. 18 1991 Toeplitz operators and algebras. Zbl 0725.47026Murphy, G. J. 14 1991 Spectral and index theory for Toeplitz operators. Zbl 0706.47015Murphy, G. J. 4 1991 \(C^*\)-dynamical systems and covariance algebras. Zbl 0771.46034Murphy, G. J. 1 1991 C\({}^*\)-algebras and operator theory. Zbl 0714.46041Murphy, Gerard J. 333 1990 Toeplitz operators. Zbl 0962.47503Murphy, G. J. 2 1989 Diagonality in \(C^*\)-algebras. Zbl 0658.46051Murphy, G. J. 11 1988 Ordered groups and Toeplitz algebras. Zbl 0656.47020Murphy, G. J. 50 1987 Ideals and Lie ideals of operators. Zbl 0659.47040Fong, C. K.; Murphy, G. J. 3 1987 Averages of projections. Zbl 0614.47011Fong, C. K.; Murphy, G. J. 6 1985 Associative and Lie subalgebras of finite codimension. Zbl 0556.46031Murphy, G. J.; Radjavi, H. 2 1985 Lie ideals in associative algebras. Zbl 0544.16013Murphy, G. J. 3 1984 Hyperinvariant subspaces and the topology on Lat A. Zbl 0488.47003Murphy, G. J. 1 1984 Riesz and Fredholm theory in Banach algebras. Zbl 0534.46034Barnes, B. A.; Murphy, G. J.; Smyth, M. R. F.; West, T. T. 49 1982 Triangularizable algebras of compact operators. Zbl 0492.47023Murphy, G. J. 6 1982 Self-dual subnormal operators. Zbl 0505.47014Murphy, G. J. 2 1982 Lifting sets and the Calkin algebra. Zbl 0483.47002Murphy, G. J. 1 1982 Continuity of the spectrum and spectral radius. Zbl 0474.46038Murphy, Gerard J. 12 1981 Decomposition of index-zero Fredholm operators. Zbl 0474.47007Murphy, G. J.; West, T. T. 3 1981 Decomposition algebras of Riesz operators. Zbl 0448.47011Murphy, G. J.; West, T. T. 1 1980 Spectral radius formulae. Zbl 0453.46037Murphy, G. J.; West, T. T. 7 1979 Commutative non-Archimedean \(C^*\)-algebras. Zbl 0393.46054Murphy, Gerard J. 2 1978 Optimal synthesis of linear pulse-width-modulated computer-controlled systems. Zbl 0143.13002Murphy, G. J.; Meksawan, T. 4 1964 Optimum design of nonlinear sampled-data control systems. Zbl 0112.06204Meksawan, T.; Murphy, G. J. 1 1963 all cited Publications top 5 cited Publications all top 5 Cited by 800 Authors 15 Lipacheva, Ekaterina Vladimirovna 15 Murphy, Gerard J. 13 Moslehian, Mohammad Sal 11 Skalski, Adam G. 10 Bikchentaev, Aĭrat Midkhatovich 9 Laca, Marcelo 9 Raeburn, Iain 9 Sołtan, Piotr Mikołaj 8 Gumerov, Renat Nel’sonovich 8 Raubenheimer, Heinrich 8 Shul’man, Viktor Semënovich 7 Li, Xin 7 Liu, Cheng-Kai 7 Raza, Mohd Arif 7 Tomatsu, Reiji 7 Tuset, Lars 6 Aiena, Pietro 6 Bédos, Erik 6 Deng, Chunyuan 6 Grigoryan, Suren Arshakovich 6 Krähmer, Ulrich 6 Skeide, Michael 6 Turovskii, Yuri V. 5 Aguilar, Konrad 5 Amini, Massoud 5 Barnes, Bruce A. 5 Dragomir, Sever Silvestru 5 Farashahi, Arash Ghaani 5 Franz, Uwe 5 Hadfield, Tom 5 Heo, Jaeseong 5 Hosseini, Amin 5 Kissin, Edward V. 5 Kwaśniewski, Bartosz Kosma 5 Kyed, David 5 Mabrouk, Mohamed 5 Ng, Ping Wong 5 Zampini, Alessandro 5 Zhang, Shuang 4 Ahmed, Mamoon A. 4 Ali, Shakir 4 Ay, Serdar 4 Bhat, B. V. Rajarama 4 Brešar, Matej 4 Burlando, Laura 4 Chirvăsitu, Alexandru 4 Daws, Matthew 4 Gheondea, Aurelian 4 Harte, Robin E. 4 Hovsepyan, Karen H. 4 Jiang, Lining 4 Kaftal, Victor G. 4 Kakariadis, Evgenios T. A. 4 Karlovich, Yuri I. 4 Kasprzak, Paweł 4 Kuznetsova, Alla. Yu. 4 Manuĭlov, Vladimir Markovich 4 Marcoux, Laurent W. 4 Mirzaee Azandaryani, Morteza 4 Pasnicu, Cornel 4 Phillips, N. Christopher 4 Nadeem-Ur-Rehman 4 Winter, Wilhelm 4 Xu, Qingxiang 3 an Huef, Astrid 3 Arambašić, Ljiljana 3 Banica, Teodor 3 Carey, Alan L. 3 Foulis, David James 3 Grigoryan, T. A. 3 Grundling, Hendrik B. G. S. 3 Hadder, Youness 3 Ji, Un Cig 3 Katsoulis, Elias George 3 Kong, Yingying 3 Koszmider, Piotr B. 3 Krajczok, Jacek 3 Larsen, Nadia S. 3 Liau, Pao-Kuei 3 Magajna, Bojan 3 Majid, Shahn 3 Matsuzawa, Yasumichi 3 Mehdipour, Mohammad Javad 3 Miri, Mohammad Reza 3 Molnár, Lajos 3 Moradi, Hamid Reza 3 Neshveyev, Sergey V. 3 Omidvar, Mohsen Erfanian 3 Pellonpää, Juha-Pekka 3 Pulmannová, Sylvia 3 Rahimi, Asghar 3 Rajić, Rajna 3 Rennie, Adam 3 Robert, Leonel 3 Sehnem, Camila F. 3 Šemrl, Peter 3 Sudo, Takahiro 3 Tepoyan, Vardan Hakobi 3 Yakushev, Rinat S. 2 Adji, Sriwulan ...and 700 more Authors all top 5 Cited in 192 Serials 54 Journal of Functional Analysis 40 Proceedings of the American Mathematical Society 33 Integral Equations and Operator Theory 22 Journal of Mathematical Analysis and Applications 16 Transactions of the American Mathematical Society 16 Lobachevskii Journal of Mathematics 15 Linear Algebra and its Applications 14 Communications in Mathematical Physics 14 Journal of Geometry and Physics 12 Journal of Noncommutative Geometry 11 Positivity 10 Rocky Mountain Journal of Mathematics 10 International Journal of Mathematics 9 International Journal of Theoretical Physics 9 Journal of Mathematical Physics 9 Letters in Mathematical Physics 8 Advances in Mathematics 8 Russian Mathematics 8 Annals of Functional Analysis 8 Sahand Communications in Mathematical Analysis 7 Mathematische Zeitschrift 7 Complex Analysis and Operator Theory 6 Mathematical Notes 6 Studia Mathematica 6 Reviews in Mathematical Physics 6 Rendiconti del Circolo Matemàtico di Palermo. Serie II 6 Ergodic Theory and Dynamical Systems 6 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 6 Journal of Mathematical Sciences (New York) 6 Filomat 6 Acta Mathematica Sinica. English Series 6 Mediterranean Journal of Mathematics 6 Operators and Matrices 5 Communications in Algebra 5 Archiv der Mathematik 5 Czechoslovak Mathematical Journal 5 Illinois Journal of Mathematics 5 Proceedings of the Edinburgh Mathematical Society. Series II 5 Siberian Mathematical Journal 5 Banach Journal of Mathematical Analysis 4 Journal of Algebra 4 Journal of Pure and Applied Algebra 4 Journal für die Reine und Angewandte Mathematik 4 Quaestiones Mathematicae 4 Indagationes Mathematicae. New Series 4 Abstract and Applied Analysis 4 Infinite Dimensional Analysis, Quantum Probability and Related Topics 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Indian Journal of Pure & Applied Mathematics 3 Applied Mathematics and Computation 3 Bulletin of the London Mathematical Society 3 Dissertationes Mathematicae 3 Glasgow Mathematical Journal 3 Memoirs of the American Mathematical Society 3 Bulletin of the Iranian Mathematical Society 3 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 3 Georgian Mathematical Journal 3 Documenta Mathematica 3 Journal of the Australian Mathematical Society 3 Journal of Algebra and its Applications 3 Fixed Point Theory and Applications 3 International Journal of Control, I. Series 3 Journal of \(K\)-Theory 3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 3 Journal of Linear and Topological Algebra 3 Advances in Operator Theory 3 Korean Journal of Mathematics 2 General Relativity and Gravitation 2 Houston Journal of Mathematics 2 Israel Journal of Mathematics 2 Linear and Multilinear Algebra 2 Reports on Mathematical Physics 2 Ukrainian Mathematical Journal 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Journal of the London Mathematical Society. Second Series 2 Journal of the Mathematical Society of Japan 2 Mathematische Annalen 2 Results in Mathematics 2 Tokyo Journal of Mathematics 2 Topology and its Applications 2 Acta Mathematica Hungarica 2 \(K\)-Theory 2 Revista Matemática Iberoamericana 2 Journal of the Ramanujan Mathematical Society 2 Aequationes Mathematicae 2 The Journal of Fourier Analysis and Applications 2 Algebras and Representation Theory 2 Nihonkai Mathematical Journal 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Central European Journal of Mathematics 2 Hacettepe Journal of Mathematics and Statistics 2 Thai Journal of Mathematics 2 International Journal of Wavelets, Multiresolution and Information Processing 2 International Journal of Geometric Methods in Modern Physics 2 Foundations of Physics 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Proceedings of the Steklov Institute of Mathematics 2 Journal of Fixed Point Theory and Applications 2 Journal of Homotopy and Related Structures ...and 92 more Serials all top 5 Cited in 50 Fields 508 Functional analysis (46-XX) 288 Operator theory (47-XX) 71 Associative rings and algebras (16-XX) 68 Quantum theory (81-XX) 50 Topological groups, Lie groups (22-XX) 50 Abstract harmonic analysis (43-XX) 46 Global analysis, analysis on manifolds (58-XX) 40 Nonassociative rings and algebras (17-XX) 35 Group theory and generalizations (20-XX) 28 \(K\)-theory (19-XX) 23 Linear and multilinear algebra; matrix theory (15-XX) 22 Harmonic analysis on Euclidean spaces (42-XX) 20 General topology (54-XX) 16 Category theory; homological algebra (18-XX) 16 Probability theory and stochastic processes (60-XX) 13 Mathematical logic and foundations (03-XX) 12 Order, lattices, ordered algebraic structures (06-XX) 12 Dynamical systems and ergodic theory (37-XX) 8 Real functions (26-XX) 8 Differential geometry (53-XX) 6 Combinatorics (05-XX) 6 Number theory (11-XX) 6 Partial differential equations (35-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Difference and functional equations (39-XX) 5 Approximations and expansions (41-XX) 5 Algebraic topology (55-XX) 4 Manifolds and cell complexes (57-XX) 4 Information and communication theory, circuits (94-XX) 3 Commutative algebra (13-XX) 3 Algebraic geometry (14-XX) 3 Measure and integration (28-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Geometry (51-XX) 3 Statistics (62-XX) 3 Computer science (68-XX) 3 Relativity and gravitational theory (83-XX) 2 History and biography (01-XX) 2 Functions of a complex variable (30-XX) 2 Potential theory (31-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Convex and discrete geometry (52-XX) 2 Numerical analysis (65-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 1 General algebraic systems (08-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Sequences, series, summability (40-XX) 1 Integral equations (45-XX) Citations by Year