A+ CATEGORY SCIENTIFIC UNIT

# Activities / Library / Books

## Mathematical Sciences Classification System

### 47Axx - General theory of linear operators

• 47A05
General (adjoints, conjugates, products, inverses, domains, ranges, etc.)
• 47A06
Linear relations (multivalued linear operators)
• 47A07
Forms (bilinear, sesquilinear, multilinear)
• 47A10
Spectrum, resolvent
• 47A11
Local spectral properties
• 47A12
• 47A13
Several-variable operator theory (spectral, Fredholm, etc.)
• 47A15
• 47A16
Cyclic vectors, hypercyclic and chaotic operators
• 47A20
Dilations, extensions, compressions
• 47A25
Spectral sets
• 47A30
Norms (inequalities, more than one norm, etc.)
• 47A35
• 47A40
• 47A45
Canonical models for contractions and nonselfadjoint operators
• 47A46
Chains (nests) of projections or of invariant subspaces, integrals along chains, etc.
• 47A48
Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc.
• 47A50
Equations and inequalities involving linear operators, with vector unknowns
• 47A52
Ill-posed problems, regularization [See also 35R25, 47J06, 65F22, 65J20, 65L08, 65M30, 65R30]
• 47A53
• 47A55
• 47A56
Functions whose values are linear operators (operator and matrix valued functions, etc., including analytic and meromorphic ones)
• 47A57
Operator methods in interpolation, moment and extension problems [See also 30E05, 42A70, 42A82, 44A60]
• 47A58
Operator approximation theory
• 47A60
Functional calculus
• 47A62
Equations involving linear operators, with operator unknowns
• 47A63
Operator inequalities
• 47A64
Operator means, shorted operators, etc.
• 47A65
Structure theory
• 47A66
Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal operators
• 47A67
Representation theory
• 47A68
Factorization theory (including Wiener-Hopf and spectral factorizations)
• 47A70
(Generalized) eigenfunction expansions; rigged Hilbert spaces
• 47A75