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Mathematics Subject Classification – MSC2020
47XX
Operator theory
146703
47Lxx
Linear spaces and algebras of operators
[See also
46Lxx
]
7670
47L05
Linear spaces of operators
[See also
46A32
,
46B28
]
987
47L07
Convex sets and cones of operators
[See also
46A55
]
433
47L10
Algebras of operators on Banach spaces and other topological linear spaces
1346
47L15
Operator algebras with symbol structure
100
47L20
Operator ideals
[See also
47B10
]
658
47L22
Ideals of polynomials and of multilinear mappings in operator theory
99
47L25
Operator spaces (= matricially normed spaces)
[See also
46L07
]
430
47L30
Abstract operator algebras on Hilbert spaces
1717
47L35
Nest algebras, CSL algebras
508
47L40
Limit algebras, subalgebras of \(C^*\)algebras
130
47L45
Dual algebras; weakly closed singly generated operator algebras
151
47L50
Dual spaces of operator algebras
240
47L55
Representations of (nonselfadjoint) operator algebras
177
47L60
Algebras of unbounded operators; partial algebras of operators
522
47L65
Crossed product algebras (analytic crossed products)
130
47L70
Nonassociative nonselfadjoint operator algebras
29
47L75
Other nonselfadjoint operator algebras
127
47L80
Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.)
540
47L90
Applications of operator algebras to the sciences
304
47L99
None of the above, but in this section
62
Overview
00
General and overarching topics; collections
01
History and biography
03
Mathematical logic and foundations
05
Combinatorics
06
Order, lattices, ordered algebraic structures
08
General algebraic systems
11
Number theory
12
Field theory and polynomials
13
Commutative algebra
14
Algebraic geometry
15
Linear and multilinear algebra; matrix theory
16
Associative rings and algebras
17
Nonassociative rings and algebras
18
Category theory; homological algebra
19
\(K\)theory
20
Group theory and generalizations
22
Topological groups, Lie groups
26
Real functions
28
Measure and integration
30
Functions of a complex variable
31
Potential theory
32
Several complex variables and analytic spaces
33
Special functions
34
Ordinary differential equations
35
Partial differential equations
37
Dynamical systems and ergodic theory
39
Difference and functional equations
40
Sequences, series, summability
41
Approximations and expansions
42
Harmonic analysis on Euclidean spaces
43
Abstract harmonic analysis
44
Integral transforms, operational calculus
45
Integral equations
46
Functional analysis
47
Operator theory
49
Calculus of variations and optimal control; optimization
51
Geometry
52
Convex and discrete geometry
53
Differential geometry
54
General topology
55
Algebraic topology
57
Manifolds and cell complexes
58
Global analysis, analysis on manifolds
60
Probability theory and stochastic processes
62
Statistics
65
Numerical analysis
68
Computer science
70
Mechanics of particles and systems
74
Mechanics of deformable solids
76
Fluid mechanics
78
Optics, electromagnetic theory
80
Classical thermodynamics, heat transfer
81
Quantum theory
82
Statistical mechanics, structure of matter
83
Relativity and gravitational theory
85
Astronomy and astrophysics
86
Geophysics
90
Operations research, mathematical programming
91
Game theory, economics, finance, and other social and behavioral sciences
92
Biology and other natural sciences
93
Systems theory; control
94
Information and communication theory, circuits
97
Mathematics education
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