## Mathematical Subject Classification – MSC2010

General reference works (handbooks, dictionaries, bibliographies, etc.) 32

Instructional exposition (textbooks, tutorial papers, etc.) 446

Research exposition (monographs, survey articles) 1130

Explicit machine computation and programs (not the theory of computation or programming) 29

Linear relations (multivalued linear operators) 258

Several-variable operator theory (spectral, Fredholm, etc.) 718

Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. 335

(Semi-) Fredholm operators; index theories [See also 58B15, 58J20 (Semi-) Fredholm operators; index theories [See also 58B15, 58J20] 3049

Functions whose values are linear operators (operator and matrix valued functions, etc., including analytic and meromorphic ones) 1707

Factorization theory (including Wiener-Hopf and spectral factorizations) 959

(Generalized) eigenfunction expansions; rigged Hilbert space (Generalized) eigenfunction expansions; rigged Hilbert spaces 1472

Operators belonging to operator ideals (nuclear, $p$-summing, in the Schatten-von Neumann classes, etc.) [See also 47L20] 3367

Hermitian and normal operators (spectral measures, functional calculus, etc.) 2311

Symmetric and selfadjoint operators (unbounded) 2909

Operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) [See also 46E22] 492

Operators on special spaces (weighted shifts, operators on sequence spaces, etc.) 2483

Operators on function spaces (general) 5949

Transformers, preservers (operators on spaces of operators) 542

Ordinary differential operators [See also 34Bxx, 34Lxx] (should also be assigned at least one other classification number in section 47) 4799

Partial differential operators [See also 35Pxx, 58Jxx] (should also be assigned at least one other classification number in section 47) 4984

Nonlinear operators and their properties [For global and geometric aspects, see 49J53, 58-XX, especially 58Cxx] 26752

Particular nonlinear operators (superposition, Hammerstein, Nemytskiĭ, Uryson, etc.) [See also 45Gxx, 45P05] 917

Equations and inequalities involving nonlinear operators [See also 46Txx] [For global and geometric aspects, see 58-XX] 17254

Variational and other types of inequalities involving nonlinear operators (general) [See also 49J40] 2713

Representations of (nonselfadjoint) operator algebras 125

Crossed product algebras (analytic crossed products) 84

Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) 424