Compute Distance To:
 Documents Indexed: 104 Publications since 1951, including 8 Books 4 Contributions as Editor · 2 Further Contributions Biographic References: 5 Publications Co-Authors: 40 Co-Authors with 49 Joint Publications 1,178 Co-Co-Authors
all top 5

### Co-Authors

 60 single-authored 15 Ringrose, John R. 5 Kastler, Daniel 4 Liu, Zhe 4 Singer, Isadore Manuel 3 Fuglede, Bent 3 Haag, Rudolf 3 Pedersen, Gert Kjærgård 2 Araki, Huzihiro 2 Davidson, Kenneth R. 2 Douglas, Ronald George 2 Effros, Edward George 2 Harris, Lawrence A. 2 Jørgensen, Palle E. T. 2 Kaskutas, Lee Ann 2 Laca, Marcelo 2 Markiewicz, Daniel 2 Muhly, Paul Scott 2 Pitts, David R. 2 Powers, Robert T. 2 Price, Geoffrey L. 2 Sarason, Donald Erik 2 Størmer, Erling 1 Aarnes, Johan Fredrik 1 Arveson, William Barnes 1 Blecher, David P. 1 Dixmier, Jacques 1 Doplicher, Sergio 1 Doran, Robert S. 1 Duflo, Michel 1 Feldman, Jacob 1 Ge, Liming 1 Glimm, James G. 1 Goodeare, Kenneth R. 1 Haagerup, Uffe Valentin 1 Hajnal, András 1 Hansen, Mogens Lemvig 1 Hugenholtz, N. M. 1 Johnson, Barry Edward 1 Korányi, Adam 1 Lance, E. Christopher 1 Merrill, Kathy D. 1 Paschke, William Lindall 1 Paterson, Alan L. T. 1 Robinson, Derek W. 1 Rosenberg, Jonathan Micah 1 Shultz, Frederick W. 1 Solel, Baruch 1 Takesaki, Masamichi 1 Thom, Andreas Berthold 1 Vergne, Michèle
all top 5

### Serials

 10 Proceedings of the National Academy of Sciences of the United States of America 8 Communications in Mathematical Physics 6 American Journal of Mathematics 6 Annals of Mathematics. Second Series 5 Proceedings of the American Mathematical Society 4 Mathematica Scandinavica 4 Pacific Journal of Mathematics 4 Expositiones Mathematicae 3 Transactions of the American Mathematical Society 3 Notices of the American Mathematical Society 2 Acta Mathematica 2 Duke Mathematical Journal 2 Journal of Algebra 2 Journal of Functional Analysis 2 Journal of Operator Theory 2 Bulletin of the American Mathematical Society 2 Graduate Studies in Mathematics 1 Journal of Mathematical Physics 1 Arkiv för Matematik 1 Bulletin of the London Mathematical Society 1 Bulletin de la Société Mathématique de France 1 Canadian Journal of Mathematics 1 Inventiones Mathematicae 1 Journal of the London Mathematical Society. Second Series 1 Memoirs of the American Mathematical Society 1 Topology 1 Comptes Rendus Mathématiques de l’Académie des Sciences 1 Bulletin of the American Mathematical Society. New Series 1 The New York Journal of Mathematics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Contemporary Mathematics 1 Lecture Notes in Mathematics 1 Proceedings of Symposia in Pure Mathematics 1 Progress in Mathematics
all top 5

### Fields

 68 Functional analysis (46-XX) 13 Operator theory (47-XX) 7 History and biography (01-XX) 5 Quantum theory (81-XX) 4 General and overarching topics; collections (00-XX) 2 Topological groups, Lie groups (22-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Operations research, mathematical programming (90-XX)

### Citations contained in zbMATH Open

88 Publications have been cited 3,277 times in 2,543 Documents Cited by Year
Fundamentals of the theory of operator algebras. Vol. 1: Elementary theory. Zbl 0518.46046
Kadison, Richard V.; Ringrose, John R.
1983
Fundamentals of the theory of operator algebras. Volume II: Advanced theory. Zbl 0601.46054
Kadison, Richard V.; Ringrose, John R.
1986
Fundamentals of the theory of operator algebras. Vol. I: Elementary theory. 2nd printing with correct. 2nd printing with correct. Zbl 0888.46039
Kadison, Richard V.; Ringrose, John R.
1997
Isometries of operator algebras. Zbl 0045.06201
1951
Local derivations. Zbl 0751.46041
1990
A generalized Schwarz inequality and algebraic invariants for operator algebras. Zbl 0047.35703
1952
Determinant theory in finite factors. Zbl 0046.33604
1952
Fundamentals of the theory of operator algebras. Vol. II: Advanced theory. 2nd printing of the 1986 orig. 2nd printing of the 1986 orig. Zbl 0991.46031
Kadison, Richard V.; Ringrose, John R.
1997
A representation theory for commutative topological algebra. Zbl 0042.34801
1951
Derivations of operator algebras. Zbl 0139.30503
1966
Transformations of states in operator theory and dynamics. Zbl 0129.08705
1965
Extensions of pure states. Zbl 0086.09704
Kadison, Richard V.; Singer, I. M.
1959
Order properties of bounded self-adjoint operators. Zbl 0043.11501
1951
Triangular operator algebras. Fundamentals and hyperreducible theory. Zbl 0096.31703
Kadison, Richard V.; Singer, I. M.
1960
Derivations and automorphisms of operator algebras. Zbl 0149.34403
Kadison, Richard V.; Ringrose, John R.
1967
Means and convex combinations of unitary operators. Zbl 0573.46034
Kadison, Richard V.; Pedersen, Gert K.
1985
Cohomology of operator algebras. III: Reduction to normal cohomology. Zbl 0234.46066
Johnson, B. E.; Kadison, Richard V.; Ringrose, John R.
1972
Unitary operators in $$C^ *$$-algebras. Zbl 0152.33001
Glimm, J. G.; Kadison, Richard V.
1960
Irreducible operator algebras. Zbl 0078.11502
1957
Nets of $$C^*$$-algebras and classification of states. Zbl 0186.28302
Haag, R.; Kadison, Richard V.; Kastler, D.
1970
Diagonalizing matrices. Zbl 0585.46048
1984
Unitary invariants for representations of operator algebras. Zbl 0084.10705
1957
Diagonals of self-adjoint operators. Zbl 1113.46064
2006
Perturbations of von Neumann algebras. I: Stability of type. Zbl 0239.46070
1972
Cohomology of operator algebras. I: Type I von Neumann algebras. Zbl 0209.44501
Kadison, Richard V.; Ringrose, John R.
1971
The Pythagorean theorem. II: The infinite discrete case. Zbl 1013.46050
2002
On the orthogonalization of operator representations. Zbl 0064.36605
1955
The Pythagorean theorem. I: The finite case. Zbl 1013.46049
2002
Operator algebras with a faithful weakly-closed representation. Zbl 0071.11501
1956
The trace in finite operator algebras. Zbl 0103.08701
1961
Remarks on the type of von Neumann algebras of local observables in quantum field theory. Zbl 0127.19201
1963
Cohomology of operator algebras. II: Extended cobounding and the hyperfinite case. Zbl 0214.38402
Kadison, Richard V.; Ringrose, John R.
1971
Derivations and automorphisms of operator algebras. II. Zbl 0149.34501
Kadison, Richard V.; Lance, E. C.; Ringrose, John R.
1967
On tensor products of von Neumann algebras. Zbl 0902.46037
1996
The closure of the regular operators in a ring of operators. Zbl 0056.33704
1954
On a conjecture of Murray and von Neumann. Zbl 0043.11702
1951
Asymptotically Abelian systems. Zbl 0177.41401
Doplicher, S.; Kadison, Richard V.; Kastler, D.; Robinson, D. W.
1967
Equivalence in operator algebras. Zbl 0217.16804
Kadison, Richard V.; Pedersen, G. K.
1970
Fundamentals of the theory of operator algebras: special topics. Vol. 4: Advanced theory - an exercise approach. Zbl 0869.46029
Kadison, Richard V.; Ringrose, John R.
1992
Automorphisms and quasi-free states fo the CAR algebra. Zbl 0308.46055
Hugenholtz, N. M.; Kadison, Richard V.
1975
On determinants and a property of the trace in finite factors. Zbl 0043.32803
1951
Infinite unitary groups. Zbl 0046.25203
1952
States and representations. Zbl 0113.09702
1962
Strong continuity of operator functions. Zbl 0169.16902
1968
Fundamentals of the theory of operator algebras: special topics. Vol. 3: Elementary theory - an exercise approach. Zbl 0869.46028
Kadison, Richard V.; Ringrose, John R.
1991
Isomorphisms of factors of infinite type. Zbl 0064.36603
1955
Three test problems in operator theory. Zbl 0078.11503
Kadison, Richard V.; Singer, I. M.
1957
A note on derivations of Murray-von Neumann algebras. Zbl 1355.46049
2014
Asymptotic orbits in a free Fermi gas. Zbl 0262.46059
Haag, R.; Kadison, Richard V.; Kastler, D.
1973
Derivations of operator group algebras. Zbl 0149.34401
Kadison, Richard V.; Ringrose, John R.
1966
The Heisenberg relation – mathematical formulations. Zbl 1410.81008
2014
Some remarks on representations of connected groups. Zbl 0046.25202
Kadison, Richard V.; Singer, I. M.
1952
On the additivity of the trace in finite factors. Zbl 0064.36604
1955
Normalcy in operator algebras. Zbl 0177.17802
1962
Non-commutative conditional expectations and their applications. Zbl 1080.46044
2004
Affine mappings of invertible operators. Zbl 0864.46035
Harris, Lawrence A.; Kadison, Richard V.
1996
Pure states and approximate identities. Zbl 0177.41302
Aarnes, J. F.; Kadison, Richard V.
1969
Diagonalizing matrices over operator algebras. Zbl 0518.46047
1983
Banach algebras with unitary norms. Zbl 0865.46040
Hansen, Mogens L.; Kadison, Richard V.
1996
Triangular algebras — another chapter. Zbl 0743.47031
1991
The general linear group of infinite factors. Zbl 0064.02704
1955
The energy momentum spectrum of quantum fields. Zbl 0163.21805
1967
Infinite general linear groups. Zbl 0055.01903
1954
Theory of operators. Part II: Operator algebras. Zbl 0080.00414
1958
Similarity of operator algebras. Zbl 0387.46051
1978
Strategies in the secretary problem. Zbl 0809.90129
1994
A note on derivations of operator algebras. Zbl 0302.46046
1975
A note on commutators in algebras of unbounded operators. Zbl 1457.46061
Kadison, Richard V.; Liu, Zhe; Thom, Andreas
2020
Which Singer is that? Zbl 1075.01010
2000
Limits of states. Zbl 0505.46045
1982
Derivations of Murray-von Neumann algebras. Zbl 1315.47037
2014
Notes on the Fermi gas. Zbl 0361.46056
1976
Notes on the Gelfand-Neumark theorem. Zbl 0824.46061
1994
On representations of finite type. Zbl 0941.46030
1998
The von Neumann algebra characterization theorems. Zbl 0576.46043
1985
Algebras of unbounded functions and operators. Zbl 0596.47028
1986
Algebraic automorphisms of operator algebras. Zbl 0287.46075
Kadison, Richard V.; Ringrose, John R.
1974
Means of unitary operators, revisited. Zbl 1161.46030
Haagerup, Uffe; Kadison, Richard V.; Pedersen, Gert K.
2007
Operator algebras and applications. Proceedings of the Symposium in Pure Mathematics of the American Mathematical Society Held at Queens University, Kingston, Ontario, July 14 - August 2, 1980. Zbl 0488.00012
1982
Dual cones and Tomita-Takesaki theory. Zbl 0935.46051
1998
Automorphisms of operator algebras. Zbl 0149.34402
Kadison, Richard V.; Ringrose, John R.
1966
Reflections relating a von Neumann algebra and its commutant. Zbl 0741.46030
1991
Multiplicity theory for operator algebras. Zbl 0084.10704
1955
On an inequality of Haagerup-Pisier. Zbl 0819.46046
1993
Fundamentals of the theory of operator algebras. Vol. 1: Elementary theory. New ed. Zbl 0831.46060
Kadison, Richard V.; Ringrose, John R.
1994
Schurian algebras and spectral additivity. Zbl 0891.46026
Harris, Lawrence A.; Kadison, Richard V.
1996
A note on the similarity problem. Zbl 0802.46071
1991
Operator algebras - an overview. Zbl 0708.46052
1990
A note on commutators in algebras of unbounded operators. Zbl 1457.46061
Kadison, Richard V.; Liu, Zhe; Thom, Andreas
2020
A note on derivations of Murray-von Neumann algebras. Zbl 1355.46049
2014
The Heisenberg relation – mathematical formulations. Zbl 1410.81008
2014
Derivations of Murray-von Neumann algebras. Zbl 1315.47037
2014
Means of unitary operators, revisited. Zbl 1161.46030
Haagerup, Uffe; Kadison, Richard V.; Pedersen, Gert K.
2007
Diagonals of self-adjoint operators. Zbl 1113.46064
2006
Non-commutative conditional expectations and their applications. Zbl 1080.46044
2004
The Pythagorean theorem. II: The infinite discrete case. Zbl 1013.46050
2002
The Pythagorean theorem. I: The finite case. Zbl 1013.46049
2002
Which Singer is that? Zbl 1075.01010
2000
On representations of finite type. Zbl 0941.46030
1998
Dual cones and Tomita-Takesaki theory. Zbl 0935.46051
1998
Fundamentals of the theory of operator algebras. Vol. I: Elementary theory. 2nd printing with correct. 2nd printing with correct. Zbl 0888.46039
Kadison, Richard V.; Ringrose, John R.
1997
Fundamentals of the theory of operator algebras. Vol. II: Advanced theory. 2nd printing of the 1986 orig. 2nd printing of the 1986 orig. Zbl 0991.46031
Kadison, Richard V.; Ringrose, John R.
1997
On tensor products of von Neumann algebras. Zbl 0902.46037
1996
Affine mappings of invertible operators. Zbl 0864.46035
Harris, Lawrence A.; Kadison, Richard V.
1996
Banach algebras with unitary norms. Zbl 0865.46040
Hansen, Mogens L.; Kadison, Richard V.
1996
Schurian algebras and spectral additivity. Zbl 0891.46026
Harris, Lawrence A.; Kadison, Richard V.
1996
Strategies in the secretary problem. Zbl 0809.90129
1994
Notes on the Gelfand-Neumark theorem. Zbl 0824.46061
1994
Fundamentals of the theory of operator algebras. Vol. 1: Elementary theory. New ed. Zbl 0831.46060
Kadison, Richard V.; Ringrose, John R.
1994
On an inequality of Haagerup-Pisier. Zbl 0819.46046
1993
Fundamentals of the theory of operator algebras: special topics. Vol. 4: Advanced theory - an exercise approach. Zbl 0869.46029
Kadison, Richard V.; Ringrose, John R.
1992
Fundamentals of the theory of operator algebras: special topics. Vol. 3: Elementary theory - an exercise approach. Zbl 0869.46028
Kadison, Richard V.; Ringrose, John R.
1991
Triangular algebras — another chapter. Zbl 0743.47031
1991
Reflections relating a von Neumann algebra and its commutant. Zbl 0741.46030
1991
A note on the similarity problem. Zbl 0802.46071
1991
Local derivations. Zbl 0751.46041
1990
Operator algebras - an overview. Zbl 0708.46052
1990
Fundamentals of the theory of operator algebras. Volume II: Advanced theory. Zbl 0601.46054
Kadison, Richard V.; Ringrose, John R.
1986
Algebras of unbounded functions and operators. Zbl 0596.47028
1986
Means and convex combinations of unitary operators. Zbl 0573.46034
Kadison, Richard V.; Pedersen, Gert K.
1985
The von Neumann algebra characterization theorems. Zbl 0576.46043
1985
Diagonalizing matrices. Zbl 0585.46048
1984
Fundamentals of the theory of operator algebras. Vol. 1: Elementary theory. Zbl 0518.46046
Kadison, Richard V.; Ringrose, John R.
1983
Diagonalizing matrices over operator algebras. Zbl 0518.46047
1983
Limits of states. Zbl 0505.46045
1982
Operator algebras and applications. Proceedings of the Symposium in Pure Mathematics of the American Mathematical Society Held at Queens University, Kingston, Ontario, July 14 - August 2, 1980. Zbl 0488.00012
1982
Similarity of operator algebras. Zbl 0387.46051
1978
Notes on the Fermi gas. Zbl 0361.46056
1976
Automorphisms and quasi-free states fo the CAR algebra. Zbl 0308.46055
Hugenholtz, N. M.; Kadison, Richard V.
1975
A note on derivations of operator algebras. Zbl 0302.46046
1975
Algebraic automorphisms of operator algebras. Zbl 0287.46075
Kadison, Richard V.; Ringrose, John R.
1974
Asymptotic orbits in a free Fermi gas. Zbl 0262.46059
Haag, R.; Kadison, Richard V.; Kastler, D.
1973
Cohomology of operator algebras. III: Reduction to normal cohomology. Zbl 0234.46066
Johnson, B. E.; Kadison, Richard V.; Ringrose, John R.
1972
Perturbations of von Neumann algebras. I: Stability of type. Zbl 0239.46070
1972
Cohomology of operator algebras. I: Type I von Neumann algebras. Zbl 0209.44501
Kadison, Richard V.; Ringrose, John R.
1971
Cohomology of operator algebras. II: Extended cobounding and the hyperfinite case. Zbl 0214.38402
Kadison, Richard V.; Ringrose, John R.
1971
Nets of $$C^*$$-algebras and classification of states. Zbl 0186.28302
Haag, R.; Kadison, Richard V.; Kastler, D.
1970
Equivalence in operator algebras. Zbl 0217.16804
Kadison, Richard V.; Pedersen, G. K.
1970
Pure states and approximate identities. Zbl 0177.41302
Aarnes, J. F.; Kadison, Richard V.
1969
Strong continuity of operator functions. Zbl 0169.16902
1968
Derivations and automorphisms of operator algebras. Zbl 0149.34403
Kadison, Richard V.; Ringrose, John R.
1967
Derivations and automorphisms of operator algebras. II. Zbl 0149.34501
Kadison, Richard V.; Lance, E. C.; Ringrose, John R.
1967
Asymptotically Abelian systems. Zbl 0177.41401
Doplicher, S.; Kadison, Richard V.; Kastler, D.; Robinson, D. W.
1967
The energy momentum spectrum of quantum fields. Zbl 0163.21805
1967
Derivations of operator algebras. Zbl 0139.30503
1966
Derivations of operator group algebras. Zbl 0149.34401
Kadison, Richard V.; Ringrose, John R.
1966
Automorphisms of operator algebras. Zbl 0149.34402
Kadison, Richard V.; Ringrose, John R.
1966
Transformations of states in operator theory and dynamics. Zbl 0129.08705
1965
Remarks on the type of von Neumann algebras of local observables in quantum field theory. Zbl 0127.19201
1963
States and representations. Zbl 0113.09702
1962
Normalcy in operator algebras. Zbl 0177.17802
1962
The trace in finite operator algebras. Zbl 0103.08701
1961
Triangular operator algebras. Fundamentals and hyperreducible theory. Zbl 0096.31703
Kadison, Richard V.; Singer, I. M.
1960
Unitary operators in $$C^ *$$-algebras. Zbl 0152.33001
Glimm, J. G.; Kadison, Richard V.
1960
Extensions of pure states. Zbl 0086.09704
Kadison, Richard V.; Singer, I. M.
1959
Theory of operators. Part II: Operator algebras. Zbl 0080.00414
1958
Irreducible operator algebras. Zbl 0078.11502
1957
Unitary invariants for representations of operator algebras. Zbl 0084.10705
1957
Three test problems in operator theory. Zbl 0078.11503
Kadison, Richard V.; Singer, I. M.
1957
Operator algebras with a faithful weakly-closed representation. Zbl 0071.11501
1956
On the orthogonalization of operator representations. Zbl 0064.36605
1955
Isomorphisms of factors of infinite type. Zbl 0064.36603
1955
On the additivity of the trace in finite factors. Zbl 0064.36604
1955
The general linear group of infinite factors. Zbl 0064.02704
1955
Multiplicity theory for operator algebras. Zbl 0084.10704
1955
The closure of the regular operators in a ring of operators. Zbl 0056.33704
1954
Infinite general linear groups. Zbl 0055.01903
1954
A generalized Schwarz inequality and algebraic invariants for operator algebras. Zbl 0047.35703
1952
Determinant theory in finite factors. Zbl 0046.33604
1952
Infinite unitary groups. Zbl 0046.25203
1952
Some remarks on representations of connected groups. Zbl 0046.25202
Kadison, Richard V.; Singer, I. M.
1952
Isometries of operator algebras. Zbl 0045.06201
1951
A representation theory for commutative topological algebra. Zbl 0042.34801
1951
Order properties of bounded self-adjoint operators. Zbl 0043.11501
1951
On a conjecture of Murray and von Neumann. Zbl 0043.11702
1951
On determinants and a property of the trace in finite factors. Zbl 0043.32803
1951
all top 5

### Cited by 2,040 Authors

 37 Peralta, Antonio M. 36 Sukochev, Fedor Anatol’evich 35 Molnár, Lajos 34 Park, Choonkil 27 Hamhalter, Jan 27 Kadison, Richard Vincent 25 Kudaĭbergenov, Karimbergen Kadirbergenovich 21 Ayupov, Shavkat Abdullaevich 19 Christensen, Erik 19 Haagerup, Uffe Valentin 19 Hadwin, Donald W. 18 Størmer, Erling 17 Blecher, David P. 17 Han, Deguang 16 Jørgensen, Palle E. T. 16 Magajna, Bojan 16 Popa, Sorin Teodor 16 Sinclair, Allan M. 16 Smith, Roger R. 15 Junge, Marius 15 Lu, Fangyan 14 Akemann, Charles A. 14 Ber, Aleksey Feliksovich 14 Labuschagne, Louis E. 14 Larson, David Royal 13 Bikchentaev, Aĭrat Midkhatovich 13 Hou, Jinchuan 13 Saitô, Kazuyuki 13 Wright, John David Maitland 12 Burgos, María J. 12 Pedersen, Gert Kjærgård 12 Pulmannová, Sylvia 12 Tomiyama, Jun 12 Zanin, Dmitriy V. 11 Archbold, Robert J. 11 Karn, Anil Kumar 11 Katsoulis, Elias George 11 Li, Jiankui 11 Wang, Liguang 10 Dykema, Kenneth J. 10 Moslehian, Mohammad Sal 10 Sakai, Shoichiro 10 Trapani, Camillo 10 Zhang, Jianhua 9 Bownik, Marcin 9 Edwards, Christopher Martin 9 Li, Hanfeng 9 Longo, Roberto 9 Martinetti, Pierre 9 Russo, Bernard 9 Samei, Ebrahim 9 Šemrl, Peter 9 Shen, Junhao 9 Tanaka, Ryotaro 9 Weaver, Nik 8 Brešar, Matej 8 Brzdęk, Janusz 8 Buchholz, Detlev 8 Chilin, Vladimir Ivanovich 8 Davidson, Kenneth R. 8 Doplicher, Sergio 8 Effros, Edward George 8 Fang, Xiaochun 8 Fernández-Polo, Francisco J. 8 Foulis, David James 8 Garcés, Jorge José 8 Hou, Chengjun 8 Huang, Jinghao 8 Lau, Anthony To-Ming 8 Majewski, Wladyslaw Adam 8 Oikhberg, Timur 8 Parcet, Javier 8 Paulsen, Vern Ival 8 Qi, Xiaofei 8 Solel, Baruch 8 White, Stuart Andrew 8 Wu, Junde 8 Xu, Quanhua 8 Yuan, Wei 7 Borchers, Hans-Jürgen 7 Bratteli, Ola 7 Casazza, Peter George 7 Dvurečenskij, Anatolij 7 Fang, Junsheng 7 Feintzeig, Benjamin H. 7 Höhle, Ulrich 7 Kaftal, Victor G. 7 Kastler, Daniel 7 Li, Chi-Kwong 7 Li, Qihui 7 Li, Yuan 7 Liu, Lei 7 Ljubenović, Martin Z. 7 Ludkovsky, Sergey Victor 7 Massey, Pedro G. 7 Ng, Ping Wong 7 Pisier, Gilles 7 Radjavi, Heydar 7 Randrianantoanina, Narcisse 7 Recht, Lázaro A. ...and 1,940 more Authors
all top 5

### Cited in 334 Serials

 243 Journal of Functional Analysis 132 Communications in Mathematical Physics 130 Journal of Mathematical Analysis and Applications 130 Proceedings of the American Mathematical Society 107 Linear Algebra and its Applications 92 Journal of Mathematical Physics 88 Transactions of the American Mathematical Society 49 Advances in Mathematics 45 Integral Equations and Operator Theory 42 International Journal of Theoretical Physics 38 Linear and Multilinear Algebra 37 Positivity 36 Tôhoku Mathematical Journal. Second Series 35 Mathematische Annalen 31 Acta Mathematica Sinica. English Series 27 Banach Journal of Mathematical Analysis 24 Rocky Mountain Journal of Mathematics 23 Letters in Mathematical Physics 23 Mathematical Proceedings of the Cambridge Philosophical Society 23 Mathematische Zeitschrift 20 Reviews in Mathematical Physics 20 Publications of the Research Institute for Mathematical Sciences, Kyoto University 20 Expositiones Mathematicae 18 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics 17 Bulletin of the Australian Mathematical Society 17 Acta Mathematica 17 Inventiones Mathematicae 17 Proceedings of the National Academy of Sciences of the United States of America 17 Bulletin of the American Mathematical Society 17 Science China. Mathematics 16 Archiv der Mathematik 16 Proceedings of the Edinburgh Mathematical Society. Series II 15 Israel Journal of Mathematics 15 Studia Mathematica 15 Rendiconti del Circolo Matemàtico di Palermo. Serie II 14 International Journal of Mathematics 13 Journal of Algebra 13 Operators and Matrices 12 Communications in Algebra 12 Lobachevskii Journal of Mathematics 11 Theoretical and Mathematical Physics 11 Glasgow Mathematical Journal 11 Annales de l’Institut Henri Poincaré. Physique Théorique 10 Mathematical Notes 10 Journal of Geometry and Physics 10 Illinois Journal of Mathematics 10 Abstract and Applied Analysis 10 Journal of the Australian Mathematical Society 10 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 9 Duke Mathematical Journal 9 Journal für die Reine und Angewandte Mathematik 9 Mathematica Slovaca 9 Science in China. Series A 9 Mediterranean Journal of Mathematics 9 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 8 Reports on Mathematical Physics 8 Journal of Pure and Applied Algebra 8 Monatshefte für Mathematik 8 Indagationes Mathematicae. New Series 8 Journal of Mathematical Sciences (New York) 8 Complex Analysis and Operator Theory 7 Indian Journal of Pure & Applied Mathematics 7 Journal of Statistical Physics 7 Annales de l’Institut Fourier 7 Fuzzy Sets and Systems 7 Journal of Approximation Theory 7 Memoirs of the American Mathematical Society 7 Topology and its Applications 7 Ergodic Theory and Dynamical Systems 7 Acta Mathematica Hungarica 7 Journal of the American Mathematical Society 7 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 7 Infinite Dimensional Analysis, Quantum Probability and Related Topics 7 Annales Henri Poincaré 7 Proceedings of the Japan Academy 6 Canadian Journal of Mathematics 6 International Journal of Mathematics and Mathematical Sciences 6 Journal of Soviet Mathematics 6 Quaestiones Mathematicae 6 Acta Applicandae Mathematicae 6 Annals of Pure and Applied Logic 6 Bulletin of the American Mathematical Society. New Series 5 The Annals of Probability 5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 5 Bulletin de la Société Mathématique de France 5 Results in Mathematics 5 Siberian Mathematical Journal 5 Bulletin of the Iranian Mathematical Society 5 Probability Theory and Related Fields 5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 5 Russian Mathematics 5 Applied Categorical Structures 5 Filomat 5 The Journal of Fourier Analysis and Applications 5 Quantum Information Processing 5 Foundations of Physics 5 Journal of Topology and Analysis 5 Advances in Operator Theory 5 Korean Journal of Mathematics 4 Arkiv för Matematik ...and 234 more Serials
all top 5

### Cited in 58 Fields

 1,676 Functional analysis (46-XX) 943 Operator theory (47-XX) 361 Quantum theory (81-XX) 133 Linear and multilinear algebra; matrix theory (15-XX) 116 Nonassociative rings and algebras (17-XX) 110 Associative rings and algebras (16-XX) 94 Topological groups, Lie groups (22-XX) 89 Probability theory and stochastic processes (60-XX) 74 Harmonic analysis on Euclidean spaces (42-XX) 69 Mathematical logic and foundations (03-XX) 68 Order, lattices, ordered algebraic structures (06-XX) 67 Abstract harmonic analysis (43-XX) 66 Difference and functional equations (39-XX) 60 Global analysis, analysis on manifolds (58-XX) 55 Statistical mechanics, structure of matter (82-XX) 52 Dynamical systems and ergodic theory (37-XX) 51 Category theory; homological algebra (18-XX) 40 Measure and integration (28-XX) 38 Group theory and generalizations (20-XX) 38 General topology (54-XX) 30 Combinatorics (05-XX) 28 Differential geometry (53-XX) 26 Information and communication theory, circuits (94-XX) 24 Computer science (68-XX) 23 Partial differential equations (35-XX) 19 Number theory (11-XX) 18 Functions of a complex variable (30-XX) 18 Relativity and gravitational theory (83-XX) 17 $$K$$-theory (19-XX) 16 Approximations and expansions (41-XX) 16 Manifolds and cell complexes (57-XX) 15 Commutative algebra (13-XX) 15 Statistics (62-XX) 15 Numerical analysis (65-XX) 12 Convex and discrete geometry (52-XX) 12 Algebraic topology (55-XX) 11 Real functions (26-XX) 8 General and overarching topics; collections (00-XX) 8 Algebraic geometry (14-XX) 7 Geometry (51-XX) 6 Several complex variables and analytic spaces (32-XX) 6 Ordinary differential equations (34-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Field theory and polynomials (12-XX) 5 Operations research, mathematical programming (90-XX) 4 General algebraic systems (08-XX) 4 Potential theory (31-XX) 4 Integral equations (45-XX) 4 Mechanics of particles and systems (70-XX) 3 Integral transforms, operational calculus (44-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Systems theory; control (93-XX) 2 History and biography (01-XX) 2 Special functions (33-XX) 2 Sequences, series, summability (40-XX) 2 Optics, electromagnetic theory (78-XX) 1 Fluid mechanics (76-XX) 1 Biology and other natural sciences (92-XX)

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