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## Takesaki, Masamichi

Compute Distance To:
 Author ID: takesaki.masamichi Published as: Takesaki, Masamichi; Takesaki, M.; Tekesaki, Masamichi External Links: MGP · Wikidata
 Documents Indexed: 99 Publications since 1958, including 9 Books
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#### Co-Authors

 57 single-authored 10 Katayama, Yoshikazu 7 Sutherland, Colin E. 3 Connes, Alain 3 Pedersen, Gert Kjærgård 2 Evans, David E. 2 Falcone, Tony 2 Herman, Richard H. 2 Kastler, Daniel 2 Kawahigashi, Yasuyuki 2 Popa, Sorin Teodor 2 Tatsuuma, Nobuhiko 1 Choi, Man-Duen 1 Dadarlat, Marius 1 Della Rocca, Giulio 1 Effros, Rita Brickman 1 Haag, Rudolf 1 Jones, Vaughan Frederick Randal 1 Kaminker, Jerome 1 Koshi, Shozo 1 Nakagami, Yoshiomi 1 Okayasu, Takateru 1 Olesen, Dorte 1 Pisier, Gilles 1 Powers, Robert T. 1 Robinson, Derek W. 1 Rosenberg, Jonathan Micah 1 Ruan, Zhongjin 1 Schochet, Claude L. 1 Shlyakhtenko, Dimitri L. 1 Shultz, Fred 1 Størmer, Erling 1 Tomiyama, Jun 1 Voiculescu, Dan-Virgil
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#### Serials

 10 Tohoku Mathematical Journal. Second Series 6 Acta Mathematica 6 Journal of Functional Analysis 5 Pacific Journal of Mathematics 5 Bulletin of the American Mathematical Society 5 Kodai Mathematical Seminar Reports 4 Communications in Mathematical Physics 3 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 2 Proceedings of the American Mathematical Society 2 Journal of Operator Theory 2 Annals of Mathematics. Second Series 2 Lecture Notes in Mathematics 2 London Mathematical Society Lecture Note Series 1 Reviews in Mathematical Physics 1 American Journal of Mathematics 1 Bulletin of the London Mathematical Society 1 Bulletin de la Société Mathématique de France 1 Inventiones Mathematicae 1 Mathematica Scandinavica 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Transactions of the American Mathematical Society 1 Journal of the Australian Mathematical Society. Series A 1 Notices of the American Mathematical Society 1 Electronic Research Announcements of the American Mathematical Society 1 Proceedings of the Japan Academy 1 Proceedings of the Steklov Institute of Mathematics 1 Regional Conference Series in Mathematics 1 Banach Journal of Mathematical Analysis
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#### Fields

 74 Functional analysis (46-XX) 10 Topological groups, Lie groups (22-XX) 7 Operator theory (47-XX) 4 History and biography (01-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 General and overarching topics; collections (00-XX) 2 Quantum theory (81-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Abstract harmonic analysis (43-XX) 1 General topology (54-XX)

#### Citations contained in zbMATH Open

79 Publications have been cited 2,933 times in 2,133 Documents Cited by Year
Theory of operator algebras I. Zbl 0436.46043
Takesaki, Masamichi
1979
Theory of operator algebras I. 2nd printing of the 1979 ed. Zbl 0990.46034
Takesaki, M.
2002
Tomita’s theory of modular Hilbert algebras and its applications. Zbl 0193.42502
Takesaki, M.
1970
Theory of operator algebras. II. Zbl 1059.46031
Takesaki, Masamichi
2003
Conditional expectations in von Neumann algebras. Zbl 0245.46089
Takesaki, Masamichi
1972
Duality for crossed products and the structure of von Neumann algebras of type III. Zbl 0268.46058
Takesaki, Masamichi
1973
The flow of weights on factors of type III. Zbl 0408.46047
Connes, Alain; Takesaki, Masamichi
1977
The Radon-Nikodym theorem for von Neumann algebras. Zbl 0262.46063
Pedersen, Gert K.; Takesaki, Masamichi
1973
Theory of operator algebras. III. Zbl 1059.46032
Takesaki, Masamichi
2003
On the cross-norm of the direct product of $$C^ *$$-algebras. Zbl 0127.07302
Takesaki, M.
1964
On the conjugate space of operator algebra. Zbl 0089.10703
Takesaki, Masamichi
1958
Duality for crossed products of von Neumann algebras. Zbl 0423.46051
Nakagami, Yoshiomi; Takesaki, Masamichi
1979
Covariant representations of $$C^ *$$-algebras and their locally compact automorphism groups. Zbl 0163.36802
Takesaki, M.
1967
Applications of fibre bundles to the certain class of $$C^*$$-algebras. Zbl 0113.09701
Tomiyama, J.; Takesaki, M.
1961
Ergodic actions of compact abelian groups. Zbl 0456.46053
Olesen, Dorte; Pedersen, Gert K.; Takesaki, Masamichi
1980
Duality and subgroups. II. Zbl 0245.46090
Takesaki, Masamichi; Tatsuuma, Nobuhiko
1972
The structure of the automorphism group of an injective factor and the cocycle conjugacy of discrete abelian group actions. Zbl 0781.46047
Kawahigashi, Y.; Sutherland, C. E.; Takesaki, M.
1992
duality and subgroups. Zbl 0201.45503
Takesaki, M.; Tatsuuma, N.
1971
States and automorphism groups of operator algebras. Zbl 0206.13001
Herman, R. H.; Takesaki, M.
1970
Actions of compact Abelian groups on semifinite injective factors. Zbl 0588.46042
Jones, V. F. R.; Takesaki, M.
1984
A characterization of group algebras as a converse of Tannaka- Stinespring-Tatsuuma duality theorem. Zbl 0182.18103
Takesaki, M.
1969
The structure of a von Neumann algebra with a homogeneous periodic state. Zbl 0267.46047
Takesaki, Masamichi
1973
Actions of discrete amenable groups on injective factors of type $$III_{\lambda}$$, $$\lambda$$ $$\neq 1$$. Zbl 0692.46057
Sutherland, Colin E.; Takesaki, Masamichi
1989
A remark on the expectations. Zbl 0102.10802
Nakamura, M.; Takesaki, M.; Umegaki, H.
1960
Actions of discrete amenable groups and groupoids on von Neumann algebras. Zbl 0614.46055
Sutherland, Colin E.; Takesaki, Masamichi
1985
The characteristic square of a factor and the cocycle conjugacy of discrete group actions on factors. Zbl 0923.46060
Katayama, Yoshikazu; Sutherland, Colin E.; Takesaki, Masamichi
1998
The non-commutative flow of weights on a von Neumann algebra. Zbl 0995.46043
Falcone, Tony; Takesaki, Masamichi
2001
Tomita’s theory of modular Hilbert algebras and its applications. Zbl 0285.46050
Takesaki, M.
1974
On the singularity of a positive linear functional on operator algebra. Zbl 0089.10704
Takesaki, Masamichi
1959
The operator equation THT = K. Zbl 0256.47020
Pedersen, Gert K.; Takesaki, Masamichi
1972
Compact Abelian group actions on injective factors. Zbl 0784.46049
Kawahigashi, Yasuyuki; Takesaki, Masamichi
1992
On the direkt product of $$W^*$$-factors. Zbl 0091.10604
Takesaki, Masamichi
1958
On the unitary equivalence among the components of decompositions of representations of involutive Banach algebras and the associated diagonal algebras. Zbl 0139.07602
Takesaki, M.
1963
Duality and von Neumann algebras. Zbl 0238.46063
Takesaki, Masamichi
1972
Errata: The flow of weights on factors of type III. Zbl 0421.46051
Connes, Alain; Takesaki, Masamichi
1978
Right inverse of the module of approximately finite dimensional factors of type III and approximately finite ergodic principal measured groupoids. Zbl 0936.46047
Sutherland, Colin E.; Takesaki, Masamichi
1998
A generalized commutation relation for the regular representation. Zbl 0188.20101
Takesaki, M.
1969
Structure of factors and automorphism groups. Zbl 0515.46053
Takesaki, Masamichi
1983
Remarks on the reduction theory of von Neumann algebras. Zbl 0175.44302
Takesaki, M.
1969
A duality in the representation theory of $$C^ *$$-algebras. Zbl 0149.34502
Takesaki, M.
1967
The topological structure of the unitary and automorphism groups of a factor. Zbl 0799.46074
Popa, Sorin; Takesaki, Masamichi
1993
A liminal crossed product of a uniformly hyperfinite $$C^ *$$-algebra by a compact abelian automorphism group. Zbl 0229.46055
Takesaki, Masamichi
1971
Duality and von Neumann algebras. Zbl 0238.46062
Takesaki, Masamichi
1971
Flots des poids sur les facteurs de type III. Zbl 0274.46051
Connes, Alain; Takesaki, M.
1974
A note on the cross-norm of the direct product of operator algebra. Zbl 0086.09901
Takesaki, Masamichi
1958
Fourier analysis of compact automorphism groups (An application of Tannaka duality theorem). Zbl 0425.46048
Takesaki, Masamichi
1979
On some representations of $$C^ *$$-algebras. Zbl 0161.11003
Takesaki, M.
1963
On the Hahn-Banach type theorem and the Jordan decomposition of module linear mapping over some operator algebras. Zbl 0091.10602
Takesaki, Masamichi
1960
Algebraic equivalence of locally normal representations. Zbl 0205.13801
Takesaki, M.
1970
Algèbres de von Neumann proprement infinies et produits croises. Zbl 0247.46068
Takesaki, Masamichi
1973
Periodic and homogeneous states on a von Neumann algebra. I. Zbl 0262.46064
Takesaki, Masamichi
1973
Faithful states on a C$$^*$$-algebra. Zbl 0295.46092
Takesaki, Masamichi
1974
The structure of the automorphism group of an approximately finite dimensional factor. Zbl 1021.46043
Katayama, Yoshikazu; Takesaki, Masamichi
2001
States and automorphisms of operator algebras. Standard representations and the Kubo-Martin-Schwinger boundary condition. Zbl 0258.46055
Takesaki, Masamichi
1973
The structure of the automorphism group of an AFD factor. Zbl 0778.46044
Takesaki, M.
1990
On the non-separability of singular representation of operator algebra. Zbl 0097.10802
Takesaki, Masamichi
1960
Operator valued weights without structure theory. Zbl 0909.46050
Falcone, Tony; Takesaki, Masamichi
1999
The structure of a von Neumann algebra of type III and crossed products. Zbl 0424.46047
Takesaki, M.
1976
Group duality and the Kubo-Martin-Schwinger condition. Zbl 0431.46047
Kastler, D.; Takesaki, M.
1979
The quotient algebra of a finite von Neumann algebra. Zbl 0216.16202
Takesaki, M.
1971
Periodic and homogeneous states on a von Neumann algebra. II. Zbl 0262.46065
Takesaki, Masamichi
1973
Duality in crossed products and von Neumann algebras of type III. Zbl 0269.46047
Takesaki, Masamichi
1973
Group duality and the Kubo-Martin Schwinger condition. II. Zbl 0503.46047
Kastler, Daniel; Takesaki, Masamichi
1982
Dual spaces of tensor products of $$C^ *$$-algebras. Zbl 0152.33201
Okayasu, Takateru; Takesaki, Masamichi
1966
The structure of the automorphism group of a factor and cocycle conjugacy of discrete group actions. Zbl 0914.46055
Katayama, Yoshikazu; Sutherland, Colin E.; Takesaki, Masamichi
1997
Cocycle conjugacy of group actions on factors. Zbl 0726.46046
Takesaki, Masamichi
1990
The role of groupoids in classification theory: A new approach. The UHF algebra case. Zbl 1016.46038
Della Rocca, Giulio; Takesaki, Masamichi
2001
Relative commutant theorem in crossed products and the exact sequence for the automorphism group of a factor of type III. Zbl 0363.46061
Takesaki, Masamichi
1976
One parameter automorphism groups and states of operator algebras. Zbl 0224.46060
Takesaki, Masamichi
1971
States and automorphism groups of operator algebras. Zbl 0258.46054
Takesaki, Masamichi
1972
Periodic and homogeneous states on a von Neumann algebra. III. Zbl 0262.46066
Takesaki, Masamichi
1973
Operator algebras and their automorphism groups. Zbl 0524.46041
Takesaki, M.
1984
Automorphisms and von Neumann algebras of type III. Zbl 0528.46048
Takesaki, Masamichi
1982
Asymptotic Galois correspondence for discrete amenable group actions on factors. Zbl 0758.46039
Katayama, Yoshikazu; Takesaki, Masamichi
1992
Outer actions of a discrete amenable group on approximately finite dimensional factors. I: General theory. Zbl 1080.46040
Katayama, Yoshikazu; Takesaki, Masamichi
2004
A classification theory based on groupoids. Zbl 0645.46044
Takesaki, M.
1986
The intrinsic invariant of an approximately finite dimensional factor and the cocycle conjugacy of discrete amenable group actions. Zbl 0849.46045
Katayama, Yoshikazu; Sutherland, Colin E.; Takesaki, Masamichi
1995
A complement to ’On the unitary equivalence among the components of decompositions of representations of involutive Banach algebras and the associated diagonal algebras’. Zbl 0173.16301
Takesaki, M.
1964
A note on the direct product of operator algebras. Zbl 0094.09801
Takesaki, Masamichi
1959
Outer actions of a discrete amenable group on approximately finite dimensional factors. I: General theory. Zbl 1080.46040
Katayama, Yoshikazu; Takesaki, Masamichi
2004
Theory of operator algebras. II. Zbl 1059.46031
Takesaki, Masamichi
2003
Theory of operator algebras. III. Zbl 1059.46032
Takesaki, Masamichi
2003
Theory of operator algebras I. 2nd printing of the 1979 ed. Zbl 0990.46034
Takesaki, M.
2002
The non-commutative flow of weights on a von Neumann algebra. Zbl 0995.46043
Falcone, Tony; Takesaki, Masamichi
2001
The structure of the automorphism group of an approximately finite dimensional factor. Zbl 1021.46043
Katayama, Yoshikazu; Takesaki, Masamichi
2001
The role of groupoids in classification theory: A new approach. The UHF algebra case. Zbl 1016.46038
Della Rocca, Giulio; Takesaki, Masamichi
2001
Operator valued weights without structure theory. Zbl 0909.46050
Falcone, Tony; Takesaki, Masamichi
1999
The characteristic square of a factor and the cocycle conjugacy of discrete group actions on factors. Zbl 0923.46060
Katayama, Yoshikazu; Sutherland, Colin E.; Takesaki, Masamichi
1998
Right inverse of the module of approximately finite dimensional factors of type III and approximately finite ergodic principal measured groupoids. Zbl 0936.46047
Sutherland, Colin E.; Takesaki, Masamichi
1998
The structure of the automorphism group of a factor and cocycle conjugacy of discrete group actions. Zbl 0914.46055
Katayama, Yoshikazu; Sutherland, Colin E.; Takesaki, Masamichi
1997
The intrinsic invariant of an approximately finite dimensional factor and the cocycle conjugacy of discrete amenable group actions. Zbl 0849.46045
Katayama, Yoshikazu; Sutherland, Colin E.; Takesaki, Masamichi
1995
The topological structure of the unitary and automorphism groups of a factor. Zbl 0799.46074
Popa, Sorin; Takesaki, Masamichi
1993
The structure of the automorphism group of an injective factor and the cocycle conjugacy of discrete abelian group actions. Zbl 0781.46047
Kawahigashi, Y.; Sutherland, C. E.; Takesaki, M.
1992
Compact Abelian group actions on injective factors. Zbl 0784.46049
Kawahigashi, Yasuyuki; Takesaki, Masamichi
1992
Asymptotic Galois correspondence for discrete amenable group actions on factors. Zbl 0758.46039
Katayama, Yoshikazu; Takesaki, Masamichi
1992
The structure of the automorphism group of an AFD factor. Zbl 0778.46044
Takesaki, M.
1990
Cocycle conjugacy of group actions on factors. Zbl 0726.46046
Takesaki, Masamichi
1990
Actions of discrete amenable groups on injective factors of type $$III_{\lambda}$$, $$\lambda$$ $$\neq 1$$. Zbl 0692.46057
Sutherland, Colin E.; Takesaki, Masamichi
1989
A classification theory based on groupoids. Zbl 0645.46044
Takesaki, M.
1986
Actions of discrete amenable groups and groupoids on von Neumann algebras. Zbl 0614.46055
Sutherland, Colin E.; Takesaki, Masamichi
1985
Actions of compact Abelian groups on semifinite injective factors. Zbl 0588.46042
Jones, V. F. R.; Takesaki, M.
1984
Operator algebras and their automorphism groups. Zbl 0524.46041
Takesaki, M.
1984
Structure of factors and automorphism groups. Zbl 0515.46053
Takesaki, Masamichi
1983
Group duality and the Kubo-Martin Schwinger condition. II. Zbl 0503.46047
Kastler, Daniel; Takesaki, Masamichi
1982
Automorphisms and von Neumann algebras of type III. Zbl 0528.46048
Takesaki, Masamichi
1982
Ergodic actions of compact abelian groups. Zbl 0456.46053
Olesen, Dorte; Pedersen, Gert K.; Takesaki, Masamichi
1980
Theory of operator algebras I. Zbl 0436.46043
Takesaki, Masamichi
1979
Duality for crossed products of von Neumann algebras. Zbl 0423.46051
Nakagami, Yoshiomi; Takesaki, Masamichi
1979
Fourier analysis of compact automorphism groups (An application of Tannaka duality theorem). Zbl 0425.46048
Takesaki, Masamichi
1979
Group duality and the Kubo-Martin-Schwinger condition. Zbl 0431.46047
Kastler, D.; Takesaki, M.
1979
Errata: The flow of weights on factors of type III. Zbl 0421.46051
Connes, Alain; Takesaki, Masamichi
1978
The flow of weights on factors of type III. Zbl 0408.46047
Connes, Alain; Takesaki, Masamichi
1977
The structure of a von Neumann algebra of type III and crossed products. Zbl 0424.46047
Takesaki, M.
1976
Relative commutant theorem in crossed products and the exact sequence for the automorphism group of a factor of type III. Zbl 0363.46061
Takesaki, Masamichi
1976
Tomita’s theory of modular Hilbert algebras and its applications. Zbl 0285.46050
Takesaki, M.
1974
Flots des poids sur les facteurs de type III. Zbl 0274.46051
Connes, Alain; Takesaki, M.
1974
Faithful states on a C$$^*$$-algebra. Zbl 0295.46092
Takesaki, Masamichi
1974
Duality for crossed products and the structure of von Neumann algebras of type III. Zbl 0268.46058
Takesaki, Masamichi
1973
The Radon-Nikodym theorem for von Neumann algebras. Zbl 0262.46063
Pedersen, Gert K.; Takesaki, Masamichi
1973
The structure of a von Neumann algebra with a homogeneous periodic state. Zbl 0267.46047
Takesaki, Masamichi
1973
Algèbres de von Neumann proprement infinies et produits croises. Zbl 0247.46068
Takesaki, Masamichi
1973
Periodic and homogeneous states on a von Neumann algebra. I. Zbl 0262.46064
Takesaki, Masamichi
1973
States and automorphisms of operator algebras. Standard representations and the Kubo-Martin-Schwinger boundary condition. Zbl 0258.46055
Takesaki, Masamichi
1973
Periodic and homogeneous states on a von Neumann algebra. II. Zbl 0262.46065
Takesaki, Masamichi
1973
Duality in crossed products and von Neumann algebras of type III. Zbl 0269.46047
Takesaki, Masamichi
1973
Periodic and homogeneous states on a von Neumann algebra. III. Zbl 0262.46066
Takesaki, Masamichi
1973
Conditional expectations in von Neumann algebras. Zbl 0245.46089
Takesaki, Masamichi
1972
Duality and subgroups. II. Zbl 0245.46090
Takesaki, Masamichi; Tatsuuma, Nobuhiko
1972
The operator equation THT = K. Zbl 0256.47020
Pedersen, Gert K.; Takesaki, Masamichi
1972
Duality and von Neumann algebras. Zbl 0238.46063
Takesaki, Masamichi
1972
States and automorphism groups of operator algebras. Zbl 0258.46054
Takesaki, Masamichi
1972
duality and subgroups. Zbl 0201.45503
Takesaki, M.; Tatsuuma, N.
1971
A liminal crossed product of a uniformly hyperfinite $$C^ *$$-algebra by a compact abelian automorphism group. Zbl 0229.46055
Takesaki, Masamichi
1971
Duality and von Neumann algebras. Zbl 0238.46062
Takesaki, Masamichi
1971
The quotient algebra of a finite von Neumann algebra. Zbl 0216.16202
Takesaki, M.
1971
One parameter automorphism groups and states of operator algebras. Zbl 0224.46060
Takesaki, Masamichi
1971
Tomita’s theory of modular Hilbert algebras and its applications. Zbl 0193.42502
Takesaki, M.
1970
States and automorphism groups of operator algebras. Zbl 0206.13001
Herman, R. H.; Takesaki, M.
1970
Algebraic equivalence of locally normal representations. Zbl 0205.13801
Takesaki, M.
1970
A characterization of group algebras as a converse of Tannaka- Stinespring-Tatsuuma duality theorem. Zbl 0182.18103
Takesaki, M.
1969
A generalized commutation relation for the regular representation. Zbl 0188.20101
Takesaki, M.
1969
Remarks on the reduction theory of von Neumann algebras. Zbl 0175.44302
Takesaki, M.
1969
Covariant representations of $$C^ *$$-algebras and their locally compact automorphism groups. Zbl 0163.36802
Takesaki, M.
1967
A duality in the representation theory of $$C^ *$$-algebras. Zbl 0149.34502
Takesaki, M.
1967
Dual spaces of tensor products of $$C^ *$$-algebras. Zbl 0152.33201
Okayasu, Takateru; Takesaki, Masamichi
1966
On the cross-norm of the direct product of $$C^ *$$-algebras. Zbl 0127.07302
Takesaki, M.
1964
A complement to ’On the unitary equivalence among the components of decompositions of representations of involutive Banach algebras and the associated diagonal algebras’. Zbl 0173.16301
Takesaki, M.
1964
On the unitary equivalence among the components of decompositions of representations of involutive Banach algebras and the associated diagonal algebras. Zbl 0139.07602
Takesaki, M.
1963
On some representations of $$C^ *$$-algebras. Zbl 0161.11003
Takesaki, M.
1963
Applications of fibre bundles to the certain class of $$C^*$$-algebras. Zbl 0113.09701
Tomiyama, J.; Takesaki, M.
1961
A remark on the expectations. Zbl 0102.10802
Nakamura, M.; Takesaki, M.; Umegaki, H.
1960
On the Hahn-Banach type theorem and the Jordan decomposition of module linear mapping over some operator algebras. Zbl 0091.10602
Takesaki, Masamichi
1960
On the non-separability of singular representation of operator algebra. Zbl 0097.10802
Takesaki, Masamichi
1960
On the singularity of a positive linear functional on operator algebra. Zbl 0089.10704
Takesaki, Masamichi
1959
A note on the direct product of operator algebras. Zbl 0094.09801
Takesaki, Masamichi
1959
On the conjugate space of operator algebra. Zbl 0089.10703
Takesaki, Masamichi
1958
On the direkt product of $$W^*$$-factors. Zbl 0091.10604
Takesaki, Masamichi
1958
A note on the cross-norm of the direct product of operator algebra. Zbl 0086.09901
Takesaki, Masamichi
1958
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#### Cited by 1,510 Authors

 51 Sukochev, Fedor Anatol’evich 37 Takesaki, Masamichi 30 Longo, Roberto 27 Peralta, Antonio M. 25 Junge, Marius 23 Hamhalter, Jan 22 Fidaleo, Francesco 21 Haagerup, Uffe Valentin 20 Bikchentaev, Aĭrat Midkhatovich 20 Inoue, Atsushi 18 Lau, Anthony To-Ming 17 Petz, Dénes 16 Connes, Alain 16 Dodds, Peter G. 16 Houdayer, Cyril 15 Popa, Sorin Teodor 15 Tomiyama, Jun 15 Wright, John David Maitland 14 Tomatsu, Reiji 13 Chilin, Vladimir Ivanovich 13 Hiai, Fumio 13 Jørgensen, Palle E. T. 12 Golodets, Valentin Yakovlevich 11 Akemann, Charles A. 11 Ayupov, Shavkat Abdullaevich 11 Blecher, David P. 11 Buchholz, Detlev 11 de Pagter, Bernardus 11 Kaniuth, Eberhard 11 Kosaki, Hideki 11 Magajna, Bojan 11 Narnhofer, Heide 11 Pisier, Gilles 11 Sutherland, Colin E. 11 Ueda, Yoshimichi 11 Werner, Reinhard F. 10 Albeverio, Sergio A. 10 Araki, Huzihiro 10 Ber, Aleksey Feliksovich 10 Elliott, George A. 10 Herman, Richard H. 10 Mukhamedov, Farruh Maksutovich 10 Randrianantoanina, Narcisse 10 Ruan, Zhongjin 10 Shtern, Aleksandr Isaakovich 10 Størmer, Erling 10 Summers, Stephen Jeffrey 10 Vaes, Stefaan 10 Van Daele, Alfons 9 Bratteli, Ola 9 Bunce, Leslie J. 9 Chu, Choho 9 Daws, Matthew 9 Masuda, Toshihiko 9 Oikhberg, Timur 9 Rieffel, Marc A. 9 Saitô, Kazuyuki 9 Tanimoto, Yoh 9 Xu, Quanhua 9 Zanin, Dmitriy V. 8 Accardi, Luigi 8 Archbold, Robert J. 8 Carey, Alan L. 8 Christensen, Erik 8 Doplicher, Sergio 8 Enock, Michel 8 Evans, David E. 8 Izumi, Masaki 8 Kaftal, Victor G. 8 Li, Hanfeng 8 Muhly, Paul Scott 8 Mukherjee, Kunal K. 8 Ozawa, Narutaka 8 Pedersen, Gert Kjærgård 8 Phillips, John 8 Saito, Kichisuke 8 Tikhonov, Oleg Evgen’evich 8 Todorov, Ivan G. 8 Trapani, Camillo 8 Turilova, Ekaterina A. 7 Caspers, Martijn 7 Cecchini, Carlo 7 Giordano, Thierry 7 Neufang, Matthias 7 Ogata, Yoshiko 7 Parcet, Javier 7 Sinclair, Allan M. 7 Solel, Baruch 7 Turowska, Lyudmila B. 7 Weaver, Nik 7 Yamanouchi, Takehiko 6 Antoine, Jean-Pierre 6 Choda, Marie 6 Crann, Jason 6 De Commer, Kenny 6 Dodds, Theresa K. 6 Fragoulopoulou, Maria 6 Grundling, Hendrik B. G. S. 6 Halpern, Herbert 6 Isono, Yusuke ...and 1,410 more Authors
all top 5

#### Cited in 249 Serials

 300 Journal of Functional Analysis 166 Communications in Mathematical Physics 89 Journal of Mathematical Analysis and Applications 79 Proceedings of the American Mathematical Society 76 Transactions of the American Mathematical Society 61 Publications of the Research Institute for Mathematical Sciences, Kyoto University 54 Journal of Mathematical Physics 53 Advances in Mathematics 48 Mathematische Annalen 43 Tohoku Mathematical Journal. Second Series 34 Integral Equations and Operator Theory 32 Mathematische Zeitschrift 29 Mathematical Proceedings of the Cambridge Philosophical Society 29 International Journal of Mathematics 27 Inventiones Mathematicae 26 International Journal of Theoretical Physics 25 Letters in Mathematical Physics 25 Reports on Mathematical Physics 25 Reviews in Mathematical Physics 24 Linear Algebra and its Applications 23 Israel Journal of Mathematics 20 Positivity 19 Acta Mathematica 19 Functional Analysis and its Applications 17 Journal of Soviet Mathematics 17 Banach Journal of Mathematical Analysis 16 Rocky Mountain Journal of Mathematics 16 Ergodic Theory and Dynamical Systems 14 Mathematical Notes 14 Annales de l’Institut Henri Poincaré. Physique Théorique 14 Infinite Dimensional Analysis, Quantum Probability and Related Topics 14 Bulletin of the American Mathematical Society 13 Bulletin de la Société Mathématique de France 12 Journal of Geometry and Physics 12 Glasgow Mathematical Journal 12 Rendiconti del Circolo Matemàtico di Palermo. Serie II 11 Bulletin of the Australian Mathematical Society 11 Lobachevskii Journal of Mathematics 10 Journal of Statistical Physics 10 Illinois Journal of Mathematics 10 Journal of Noncommutative Geometry 9 Studia Mathematica 9 Duke Mathematical Journal 9 Journal of Algebra 9 Probability Theory and Related Fields 9 Acta Mathematica Sinica. English Series 9 Annales Henri Poincaré 9 Complex Analysis and Operator Theory 8 Archiv der Mathematik 8 Journal für die Reine und Angewandte Mathematik 8 Memoirs of the American Mathematical Society 8 Annals of Physics 8 Russian Mathematics 8 Journal of Mathematical Sciences (New York) 8 Journal of High Energy Physics 8 Proceedings of the Japan Academy 7 Communications in Algebra 7 Annales de l’Institut Fourier 7 International Journal of Mathematics and Mathematical Sciences 7 Proceedings of the Edinburgh Mathematical Society. Series II 7 Proceedings of the Japan Academy. Series A 7 Bulletin of the American Mathematical Society. New Series 7 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 7 Russian Journal of Mathematical Physics 7 Journal of the Australian Mathematical Society 7 Foundations of Physics 7 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics 6 Physics Letters. A 6 Theoretical and Mathematical Physics 6 The Annals of Probability 6 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 6 Bulletin of the London Mathematical Society 6 Compositio Mathematica 6 Manuscripta Mathematica 6 Mathematische Nachrichten 6 Acta Applicandae Mathematicae 6 Kodai Mathematical Seminar Reports 6 Kyoto Journal of Mathematics 5 Monatshefte für Mathematik 5 Siberian Mathematical Journal 5 Annals of Global Analysis and Geometry 5 Expositiones Mathematicae 4 Linear and Multilinear Algebra 4 Journal of Pure and Applied Algebra 4 Proceedings of the London Mathematical Society. Third Series 4 Semigroup Forum 4 Zeitschrift für Analysis und ihre Anwendungen 4 Acta Mathematica Hungarica 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Indagationes Mathematicae. New Series 4 Selecta Mathematica. New Series 4 Mediterranean Journal of Mathematics 4 Proceedings of the Steklov Institute of Mathematics 4 Science China. Mathematics 4 Forum of Mathematics, Sigma 3 Nuclear Physics. B 3 Ukrainian Mathematical Journal 3 Journal of Approximation Theory 3 Journal of the London Mathematical Society. Second Series 3 Kodai Mathematical Journal ...and 149 more Serials
all top 5

#### Cited in 56 Fields

 1,698 Functional analysis (46-XX) 488 Operator theory (47-XX) 388 Quantum theory (81-XX) 224 Topological groups, Lie groups (22-XX) 145 Abstract harmonic analysis (43-XX) 95 Statistical mechanics, structure of matter (82-XX) 92 Probability theory and stochastic processes (60-XX) 80 Dynamical systems and ergodic theory (37-XX) 79 Nonassociative rings and algebras (17-XX) 64 Associative rings and algebras (16-XX) 63 Group theory and generalizations (20-XX) 63 Measure and integration (28-XX) 62 Global analysis, analysis on manifolds (58-XX) 42 Category theory; homological algebra (18-XX) 38 Information and communication theory, circuits (94-XX) 32 Mathematical logic and foundations (03-XX) 23 Linear and multilinear algebra; matrix theory (15-XX) 23 Differential geometry (53-XX) 21 Harmonic analysis on Euclidean spaces (42-XX) 20 $$K$$-theory (19-XX) 17 Partial differential equations (35-XX) 16 General topology (54-XX) 16 Manifolds and cell complexes (57-XX) 15 Algebraic topology (55-XX) 14 Order, lattices, ordered algebraic structures (06-XX) 14 Statistics (62-XX) 14 Relativity and gravitational theory (83-XX) 13 Combinatorics (05-XX) 12 Several complex variables and analytic spaces (32-XX) 8 Number theory (11-XX) 8 Approximations and expansions (41-XX) 6 Commutative algebra (13-XX) 6 Algebraic geometry (14-XX) 6 Computer science (68-XX) 6 Operations research, mathematical programming (90-XX) 6 Systems theory; control (93-XX) 5 General and overarching topics; collections (00-XX) 5 Potential theory (31-XX) 5 Ordinary differential equations (34-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Biology and other natural sciences (92-XX) 3 History and biography (01-XX) 3 Real functions (26-XX) 3 Functions of a complex variable (30-XX) 3 Special functions (33-XX) 3 Integral equations (45-XX) 3 Convex and discrete geometry (52-XX) 3 Numerical analysis (65-XX) 3 Mechanics of particles and systems (70-XX) 2 Difference and functional equations (39-XX) 2 Sequences, series, summability (40-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General algebraic systems (08-XX) 1 Integral transforms, operational calculus (44-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX)

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