# zbMATH — the first resource for mathematics

## Arveson, William Barnes

Compute Distance To:
 Author ID: arveson.william-b Published as: Arveson, William; Arveson, W. B.; Arveson, William B.; Arveson, W.; Arveson, William Barnes; Arveson, Bill Homepage: https://math.berkeley.edu/~arveson/ External Links: MGP · Wikidata · GND
 Documents Indexed: 89 Publications since 1966, including 10 Books Biographic References: 3 Publications
all top 5

#### Co-Authors

 73 single-authored 2 Douglas, Ronald George 2 Mishchenko, Aleksandr Sergeevich 2 Price, Geoffrey L. 2 Putinar, Mihai 2 Rieffel, Marc A. 2 Strătilă, Şerban Valentin 1 Branson, Thomas Patrick 1 Courtney, Dennis 1 Fall, Thomas 1 Feldman, Jacob 1 Hadwin, Donald W. 1 Hoover, Thomas B. 1 Josephson, K. B. 1 Kadison, Richard Vincent 1 Katznelson, Yitzhak 1 Kishimoto, Akitaka 1 Kymala, E. Eugene 1 McCarthy, John Edward 1 Medina, Herbert A. 1 Merrill, Kathy D. 1 Muhly, Paul Scott 1 Sarason, Donald Erik 1 Segal, Irving Ezra 1 Størmer, Erling 1 Veech, William Austin 1 Wermer, John 1 Zabihi, Farhad
all top 5

#### Serials

 10 Journal of Functional Analysis 5 Communications in Mathematical Physics 5 Acta Mathematica 5 Bulletin of the American Mathematical Society 4 Pacific Journal of Mathematics 4 Journal of Operator Theory 4 International Journal of Mathematics 3 Proceedings of Symposia in Pure Mathematics 2 Duke Mathematical Journal 2 Indiana University Mathematics Journal 2 Mathematica Scandinavica 2 Proceedings of the American Mathematical Society 2 Proceedings of the National Academy of Sciences of the United States of America 2 Graduate Texts in Mathematics 1 Israel Journal of Mathematics 1 Acta Scientiarum Mathematicarum 1 American Journal of Mathematics 1 Bulletin of the London Mathematical Society 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Michigan Mathematical Journal 1 Transactions of the American Mathematical Society 1 Ergodic Theory and Dynamical Systems 1 Journal of the American Mathematical Society 1 Proceedings of the Royal Irish Academy. Section A, Mathematical and Physical Sciences 1 Notices of the American Mathematical Society 1 Documenta Mathematica 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Annals of Mathematics. Second Series 1 Journal of Evolution Equations 1 Regional Conference Series in Mathematics 1 Springer Monographs in Mathematics
all top 5

#### Fields

 67 Functional analysis (46-XX) 37 Operator theory (47-XX) 16 Quantum theory (81-XX) 5 General and overarching topics; collections (00-XX) 3 Differential geometry (53-XX) 3 Probability theory and stochastic processes (60-XX) 2 History and biography (01-XX) 2 Topological groups, Lie groups (22-XX) 2 Ordinary differential equations (34-XX) 2 Numerical analysis (65-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Partial differential equations (35-XX) 1 Abstract harmonic analysis (43-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

80 Publications have been cited 2,324 times in 1,655 Documents Cited by Year
Subalgebras of $$C^ *$$-algebras. Zbl 0194.15701
Arveson, W. B.
1969
Subalgebras of $$C^*$$-algebras. III: Multivariable operator theory. Zbl 0952.46035
Arveson, William
1998
An invitation to $$C^*$$-algebras. Zbl 0344.46123
Arveson, William
1976
Subalgebras of C$$^*$$-algebras. II. Zbl 0245.46098
Arveson, William
1972
Interpolation problems in nest algebras. Zbl 0309.46053
Arveson, William
1975
On groups of automorphisms of operator algebras. Zbl 0296.46064
Arveson, William
1974
Analyticity in operator algebras. Zbl 0183.42501
Arveson, W. B.
1967
Notes on extensions of $$C^*$$-algebras. Zbl 0368.46052
Arveson, William
1977
Operator algebras and invariant subspaces. Zbl 0334.46070
Arveson, William
1974
Continuous analogues of Fock space. Zbl 0697.46035
Arveson, William
1989
The curvature invariant of a Hilbert module over $${\mathbb C} [z_1, \dots, z_d]$$. Zbl 0951.47008
Arveson, William
2000
The noncommutative Choquet boundary. Zbl 1207.46052
Arveson, William
2008
Noncommutative dynamics and E-semigroups. Zbl 1032.46001
Arveson, William
2003
A density theorem for operator algebras. Zbl 0183.42403
Arveson, W. B.
1967
Operator algebras and measure preserving automorphisms. Zbl 0182.18201
Arveson, W. B.
1967
$$C^*$$-algebras and numerical linear algebra. Zbl 0802.46069
Arveson, William
1994
Diagonals of self-adjoint operators. Zbl 1113.46064
2006
A short course on spectral theory. Zbl 0997.47001
Arveson, William
2002
The Dirac operator of a commuting $$d$$-tuple. Zbl 1038.47003
Arveson, William
2002
$$p$$-summable commutators in dimension $$d$$. Zbl 1107.47006
Arveson, William B.
2005
Continuous analogues of Fock space. IV: Essential states. Zbl 0809.46082
Arveson, William
1990
The noncommutative Choquet boundary. II: Hyperrigidity. Zbl 1266.46045
Arveson, William
2011
Quotients of standard Hilbert modules. Zbl 1130.46035
Arveson, William
2007
Ten lectures on operator algebras. Zbl 0571.47033
Arveson, William
1984
Continuous analogues of Fock space. II. The spectral $$C^*$$-algebra. Zbl 0715.46039
Arveson, William
1990
Perturbations of nest algebras. Zbl 0455.46051
Fall, Thomas; Arveson, William; Muhly, Paul
1979
An addition formula for the index of semigroups of endomorphisms of B(H). Zbl 0681.46057
Arveson, William
1989
Diagonals of normal operators with finite spectrum. Zbl 1191.47027
Arveson, William
2007
Dilation theory yesterday and today. Zbl 1217.47016
Arveson, William
2010
Unitary invariants for compact operators. Zbl 0196.14304
Arveson, W. B.
1970
The index of a quantum dynamical semigroup. Zbl 0923.46065
Arveson, William
1997
Perturbation theory for groups and lattices. Zbl 0543.47030
Arveson, William
1983
A note on invariant subspaces. Zbl 0167.13304
Arveson, W. B.; Feldman, J.
1968
Quantization and the uniqueness of invariant structures. Zbl 0522.58022
Arveson, William
1983
Pure $$E_ 0$$-semigroups and absorbing states. Zbl 0880.46045
Arveson, William
1997
Improper filtrations for $$C^*$$-algebras: Spectra of unilateral tridiagonal operators. Zbl 0819.46044
Arveson, William
1993
A note on desintegration, type and global type of von Neumann algebras. Zbl 0186.45903
Arveson, W. B.; Josephson, K. B.
1969
Continuous analogues of Fock space. III: Singular states. Zbl 0715.46040
Arveson, William
1989
The harmonic analysis of automorphism groups. Zbl 0506.46047
Arveson, William
1982
On the existence of $$E_{0}$$-semigroups. Zbl 1107.46046
Arveson, William
2006
A note on essentially normal operators. Zbl 0311.47010
Arveson, W.
1974
The noncommutative Choquet boundary. III: Operator systems in matrix algebras. Zbl 1208.46053
Arveson, William
2010
The role of $$C^*$$-algebras in infinite dimensional numerical linear algebra. Zbl 0817.46051
Arveson, William
1994
The domain algebra of a CP-semigroup. Zbl 1056.46062
Arveson, William
2002
The asymptotic lift of a completely positive map. Zbl 1125.46046
Arveson, William
2007
The heat flow of the CCR algebra. Zbl 1032.46083
Arveson, William
2002
The curvature of a Hilbert module over $${\mathbb C}[z_1,\cdots,z_d]$$. Zbl 0968.46035
Arveson, William
1999
On the index and dilations of completely positive semigroups. Zbl 1110.46313
Arveson, William
1999
Circular operators. Zbl 0586.47021
Arveson, William; Hadwin, Donald W.; Hoover, Thomas B.; Kymala, E. Eugene
1984
On subalgebras of $$C^ *$$-algebras. Zbl 0212.15402
Arveson, W. B.
1969
A theorem on the action of Abelian unitary groups. Zbl 0142.10304
Arveson, W. B.
1966
Quantizing the Fredholm index. Zbl 0715.47026
Arveson, W.
1990
Markov operators and OS-positive processes. Zbl 0615.47024
Arveson, William
1986
Quantum channels that preserve entanglement. Zbl 1167.46042
Arveson, William
2009
Maximal vectors in Hilbert space and quantum entanglement. Zbl 1170.46024
Arveson, William
2009
The probability of entanglement. Zbl 1176.81011
Arveson, William
2009
The free cover of a row contraction. Zbl 1049.46044
Arveson, William
2004
A note on extensions of semigroups of *-endomorphisms. Zbl 0789.46055
Arveson, William; Kishimoto, Akitaka
1992
Discretized CCR algebras. Zbl 0797.46050
Arveson, William
1991
$$C^*$$-algebras associated with sets of semigroups of isometries. Zbl 0746.46053
Arveson, William
1991
Infinite tensor products of completely positive semigroups. Zbl 1016.46045
Arveson, William; Price, Geoffrey
2001
Dynamical invariants for noncommutative flows. Zbl 0993.46032
Arveson, William
1997
Interactions in noncommutative dynamics. Zbl 0960.46051
Arveson, William
2000
$$E_ 0$$-semigroups in quantum field theory. Zbl 0855.46038
Arveson, William
1996
Non-commutative spheres and numerical quantum mechanics. Zbl 0803.46078
Arveson, William
1993
An algebraic conjugacy invariant for measure preserving transformations. Zbl 0182.18202
Arveson, W. B.
1967
Lattices of invariant subspaces. Zbl 0258.47005
Arveson, William
1972
Four lectures on noncommutative dynamics. Zbl 1059.46049
Arveson, William
2003
The structure of spin systems. Zbl 1053.46040
Arveson, William; Price, Geoffrey
2003
Asymptotic stability. I: Completely positive maps. Zbl 1065.46047
Arveson, William
2004
Continuous nests and the absorption principle. Zbl 0592.47036
Arveson, William
1985
Nonlinear states on $$C^*$$-algebras. Zbl 0719.46032
Arveson, William
1987
The spectral $$C^*$$-algebra of an $$E_ 0$$-semigroup. Zbl 0739.46052
Arveson, William
1990
Asymptotic lifts of positive linear maps. Zbl 1152.46052
Arveson, William; Størmer, Erling
2007
Minimal $$E_ 0$$-semigroups. Zbl 0879.46032
Arveson, William
1997
Path spaces, continuous tensor products, and $$E_0$$-semigroups. Zbl 0892.46069
Arveson, William
1997
A spectral theorem for nonlinear operators. Zbl 0328.47037
Arveson, William
1976
Generators of non-commutative dynamics. Zbl 1038.46054
Arveson, William
2002
Spectral theory for nonlinear random processes. Zbl 0366.60048
Arveson, William
1976
Operators with compact imaginary part. Zbl 0219.46044
Arveson, W. B.
1971
The noncommutative Choquet boundary. II: Hyperrigidity. Zbl 1266.46045
Arveson, William
2011
Dilation theory yesterday and today. Zbl 1217.47016
Arveson, William
2010
The noncommutative Choquet boundary. III: Operator systems in matrix algebras. Zbl 1208.46053
Arveson, William
2010
Quantum channels that preserve entanglement. Zbl 1167.46042
Arveson, William
2009
Maximal vectors in Hilbert space and quantum entanglement. Zbl 1170.46024
Arveson, William
2009
The probability of entanglement. Zbl 1176.81011
Arveson, William
2009
The noncommutative Choquet boundary. Zbl 1207.46052
Arveson, William
2008
Quotients of standard Hilbert modules. Zbl 1130.46035
Arveson, William
2007
Diagonals of normal operators with finite spectrum. Zbl 1191.47027
Arveson, William
2007
The asymptotic lift of a completely positive map. Zbl 1125.46046
Arveson, William
2007
Asymptotic lifts of positive linear maps. Zbl 1152.46052
Arveson, William; Størmer, Erling
2007
Diagonals of self-adjoint operators. Zbl 1113.46064
2006
On the existence of $$E_{0}$$-semigroups. Zbl 1107.46046
Arveson, William
2006
$$p$$-summable commutators in dimension $$d$$. Zbl 1107.47006
Arveson, William B.
2005
The free cover of a row contraction. Zbl 1049.46044
Arveson, William
2004
Asymptotic stability. I: Completely positive maps. Zbl 1065.46047
Arveson, William
2004
Noncommutative dynamics and E-semigroups. Zbl 1032.46001
Arveson, William
2003
Four lectures on noncommutative dynamics. Zbl 1059.46049
Arveson, William
2003
The structure of spin systems. Zbl 1053.46040
Arveson, William; Price, Geoffrey
2003
A short course on spectral theory. Zbl 0997.47001
Arveson, William
2002
The Dirac operator of a commuting $$d$$-tuple. Zbl 1038.47003
Arveson, William
2002
The domain algebra of a CP-semigroup. Zbl 1056.46062
Arveson, William
2002
The heat flow of the CCR algebra. Zbl 1032.46083
Arveson, William
2002
Generators of non-commutative dynamics. Zbl 1038.46054
Arveson, William
2002
Infinite tensor products of completely positive semigroups. Zbl 1016.46045
Arveson, William; Price, Geoffrey
2001
The curvature invariant of a Hilbert module over $${\mathbb C} [z_1, \dots, z_d]$$. Zbl 0951.47008
Arveson, William
2000
Interactions in noncommutative dynamics. Zbl 0960.46051
Arveson, William
2000
The curvature of a Hilbert module over $${\mathbb C}[z_1,\cdots,z_d]$$. Zbl 0968.46035
Arveson, William
1999
On the index and dilations of completely positive semigroups. Zbl 1110.46313
Arveson, William
1999
Subalgebras of $$C^*$$-algebras. III: Multivariable operator theory. Zbl 0952.46035
Arveson, William
1998
The index of a quantum dynamical semigroup. Zbl 0923.46065
Arveson, William
1997
Pure $$E_ 0$$-semigroups and absorbing states. Zbl 0880.46045
Arveson, William
1997
Dynamical invariants for noncommutative flows. Zbl 0993.46032
Arveson, William
1997
Minimal $$E_ 0$$-semigroups. Zbl 0879.46032
Arveson, William
1997
Path spaces, continuous tensor products, and $$E_0$$-semigroups. Zbl 0892.46069
Arveson, William
1997
$$E_ 0$$-semigroups in quantum field theory. Zbl 0855.46038
Arveson, William
1996
$$C^*$$-algebras and numerical linear algebra. Zbl 0802.46069
Arveson, William
1994
The role of $$C^*$$-algebras in infinite dimensional numerical linear algebra. Zbl 0817.46051
Arveson, William
1994
Improper filtrations for $$C^*$$-algebras: Spectra of unilateral tridiagonal operators. Zbl 0819.46044
Arveson, William
1993
Non-commutative spheres and numerical quantum mechanics. Zbl 0803.46078
Arveson, William
1993
A note on extensions of semigroups of *-endomorphisms. Zbl 0789.46055
Arveson, William; Kishimoto, Akitaka
1992
Discretized CCR algebras. Zbl 0797.46050
Arveson, William
1991
$$C^*$$-algebras associated with sets of semigroups of isometries. Zbl 0746.46053
Arveson, William
1991
Continuous analogues of Fock space. IV: Essential states. Zbl 0809.46082
Arveson, William
1990
Continuous analogues of Fock space. II. The spectral $$C^*$$-algebra. Zbl 0715.46039
Arveson, William
1990
Quantizing the Fredholm index. Zbl 0715.47026
Arveson, W.
1990
The spectral $$C^*$$-algebra of an $$E_ 0$$-semigroup. Zbl 0739.46052
Arveson, William
1990
Continuous analogues of Fock space. Zbl 0697.46035
Arveson, William
1989
An addition formula for the index of semigroups of endomorphisms of B(H). Zbl 0681.46057
Arveson, William
1989
Continuous analogues of Fock space. III: Singular states. Zbl 0715.46040
Arveson, William
1989
Nonlinear states on $$C^*$$-algebras. Zbl 0719.46032
Arveson, William
1987
Markov operators and OS-positive processes. Zbl 0615.47024
Arveson, William
1986
Continuous nests and the absorption principle. Zbl 0592.47036
Arveson, William
1985
Ten lectures on operator algebras. Zbl 0571.47033
Arveson, William
1984
Circular operators. Zbl 0586.47021
Arveson, William; Hadwin, Donald W.; Hoover, Thomas B.; Kymala, E. Eugene
1984
Perturbation theory for groups and lattices. Zbl 0543.47030
Arveson, William
1983
Quantization and the uniqueness of invariant structures. Zbl 0522.58022
Arveson, William
1983
The harmonic analysis of automorphism groups. Zbl 0506.46047
Arveson, William
1982
Perturbations of nest algebras. Zbl 0455.46051
Fall, Thomas; Arveson, William; Muhly, Paul
1979
Notes on extensions of $$C^*$$-algebras. Zbl 0368.46052
Arveson, William
1977
An invitation to $$C^*$$-algebras. Zbl 0344.46123
Arveson, William
1976
A spectral theorem for nonlinear operators. Zbl 0328.47037
Arveson, William
1976
Spectral theory for nonlinear random processes. Zbl 0366.60048
Arveson, William
1976
Interpolation problems in nest algebras. Zbl 0309.46053
Arveson, William
1975
On groups of automorphisms of operator algebras. Zbl 0296.46064
Arveson, William
1974
Operator algebras and invariant subspaces. Zbl 0334.46070
Arveson, William
1974
A note on essentially normal operators. Zbl 0311.47010
Arveson, W.
1974
Subalgebras of C$$^*$$-algebras. II. Zbl 0245.46098
Arveson, William
1972
Lattices of invariant subspaces. Zbl 0258.47005
Arveson, William
1972
Operators with compact imaginary part. Zbl 0219.46044
Arveson, W. B.
1971
Unitary invariants for compact operators. Zbl 0196.14304
Arveson, W. B.
1970
Subalgebras of $$C^ *$$-algebras. Zbl 0194.15701
Arveson, W. B.
1969
A note on desintegration, type and global type of von Neumann algebras. Zbl 0186.45903
Arveson, W. B.; Josephson, K. B.
1969
On subalgebras of $$C^ *$$-algebras. Zbl 0212.15402
Arveson, W. B.
1969
A note on invariant subspaces. Zbl 0167.13304
Arveson, W. B.; Feldman, J.
1968
Analyticity in operator algebras. Zbl 0183.42501
Arveson, W. B.
1967
A density theorem for operator algebras. Zbl 0183.42403
Arveson, W. B.
1967
Operator algebras and measure preserving automorphisms. Zbl 0182.18201
Arveson, W. B.
1967
An algebraic conjugacy invariant for measure preserving transformations. Zbl 0182.18202
Arveson, W. B.
1967
A theorem on the action of Abelian unitary groups. Zbl 0142.10304
Arveson, W. B.
1966
all top 5

all top 5

#### Cited in 227 Serials

 276 Journal of Functional Analysis 134 Proceedings of the American Mathematical Society 94 Integral Equations and Operator Theory 85 Transactions of the American Mathematical Society 84 Journal of Mathematical Analysis and Applications 62 Linear Algebra and its Applications 46 Communications in Mathematical Physics 41 Journal of Mathematical Physics 34 Advances in Mathematics 29 Complex Analysis and Operator Theory 26 Mathematische Annalen 23 Israel Journal of Mathematics 21 Linear and Multilinear Algebra 19 Positivity 16 Rocky Mountain Journal of Mathematics 15 Publications of the Research Institute for Mathematical Sciences, Kyoto University 15 International Journal of Mathematics 14 Infinite Dimensional Analysis, Quantum Probability and Related Topics 13 Mathematical Proceedings of the Cambridge Philosophical Society 12 Acta Mathematica 12 Memoirs of the American Mathematical Society 12 Proceedings of the Edinburgh Mathematical Society. Series II 12 Tohoku Mathematical Journal. Second Series 11 Inventiones Mathematicae 11 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 10 Functional Analysis and its Applications 10 Mathematische Zeitschrift 10 Ergodic Theory and Dynamical Systems 9 Illinois Journal of Mathematics 9 Journal of Soviet Mathematics 9 Bulletin of the American Mathematical Society 9 Banach Journal of Mathematical Analysis 8 Letters in Mathematical Physics 8 Reviews in Mathematical Physics 8 Duke Mathematical Journal 8 Journal für die Reine und Angewandte Mathematik 8 MCSS. Mathematics of Control, Signals, and Systems 8 Journal of the Australian Mathematical Society 7 Bulletin of the Australian Mathematical Society 7 Mathematical Notes 7 Journal of Approximation Theory 7 Open Systems & Information Dynamics 7 Acta Mathematica Sinica. English Series 7 Science China. Mathematics 6 International Journal of Theoretical Physics 6 Studia Mathematica 6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 6 Proceedings of the Japan Academy 5 Reports on Mathematical Physics 5 Canadian Journal of Mathematics 5 Semigroup Forum 5 Systems & Control Letters 5 Chinese Annals of Mathematics. Series B 5 $$K$$-Theory 5 Expositiones Mathematicae 5 Foundations of Physics 5 Journal of Noncommutative Geometry 4 Journal d’Analyse Mathématique 4 Journal of Geometry and Physics 4 Archiv der Mathematik 4 Automatica 4 Glasgow Mathematical Journal 4 Indiana University Mathematics Journal 4 Monatshefte für Mathematik 4 Topology and its Applications 4 Advances in Applied Mathematics 4 Acta Applicandae Mathematicae 4 Bulletin of the American Mathematical Society. New Series 4 Indagationes Mathematicae. New Series 4 Russian Mathematics 4 Opuscula Mathematica 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Quantum Information Processing 4 Annals of Functional Analysis 3 Indian Journal of Pure & Applied Mathematics 3 The Annals of Probability 3 Journal of Pure and Applied Algebra 3 Manuscripta Mathematica 3 Mathematica Slovaca 3 Pacific Journal of Mathematics 3 Journal of the American Mathematical Society 3 The Journal of Geometric Analysis 3 Proceedings of the National Academy of Sciences of the United States of America 3 Acta Mathematica Sinica. New Series 3 Journal of Mathematical Sciences (New York) 3 The Journal of Fourier Analysis and Applications 3 Annals of Mathematics. Second Series 3 Lobachevskii Journal of Mathematics 3 Annales Henri Poincaré 3 Journal of Applied Mathematics and Computing 3 Complex Variables and Elliptic Equations 3 Proceedings of the Steklov Institute of Mathematics 3 Advances in Operator Theory 2 Journal of the Franklin Institute 2 Theoretical and Mathematical Physics 2 Arkiv för Matematik 2 Mathematics of Computation 2 Annales de l’Institut Fourier 2 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série ...and 127 more Serials
all top 5

#### Cited in 54 Fields

 1,053 Functional analysis (46-XX) 931 Operator theory (47-XX) 166 Quantum theory (81-XX) 107 Linear and multilinear algebra; matrix theory (15-XX) 68 Several complex variables and analytic spaces (32-XX) 67 Abstract harmonic analysis (43-XX) 66 Topological groups, Lie groups (22-XX) 63 Probability theory and stochastic processes (60-XX) 42 Harmonic analysis on Euclidean spaces (42-XX) 41 Functions of a complex variable (30-XX) 36 Systems theory; control (93-XX) 28 Dynamical systems and ergodic theory (37-XX) 26 Measure and integration (28-XX) 25 Group theory and generalizations (20-XX) 24 Information and communication theory, circuits (94-XX) 22 Mathematical logic and foundations (03-XX) 22 Numerical analysis (65-XX) 21 Statistical mechanics, structure of matter (82-XX) 19 Global analysis, analysis on manifolds (58-XX) 18 Associative rings and algebras (16-XX) 18 Partial differential equations (35-XX) 17 Order, lattices, ordered algebraic structures (06-XX) 17 Approximations and expansions (41-XX) 15 Category theory; homological algebra (18-XX) 13 Combinatorics (05-XX) 13 Algebraic geometry (14-XX) 13 Nonassociative rings and algebras (17-XX) 12 $$K$$-theory (19-XX) 10 Commutative algebra (13-XX) 10 General topology (54-XX) 9 Ordinary differential equations (34-XX) 9 Operations research, mathematical programming (90-XX) 8 Differential geometry (53-XX) 7 Number theory (11-XX) 7 Potential theory (31-XX) 7 Difference and functional equations (39-XX) 7 Computer science (68-XX) 6 Convex and discrete geometry (52-XX) 5 Integral transforms, operational calculus (44-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Algebraic topology (55-XX) 5 Statistics (62-XX) 4 Real functions (26-XX) 3 Special functions (33-XX) 3 Sequences, series, summability (40-XX) 3 Integral equations (45-XX) 3 Relativity and gravitational theory (83-XX) 2 Field theory and polynomials (12-XX) 2 Geometry (51-XX) 2 Fluid mechanics (76-XX) 1 History and biography (01-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of particles and systems (70-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.