## Mathematics Subject Classification – MSC2010

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

Instructional exposition (textbooks, tutorial papers, etc.) 502

Research exposition (monographs, survey articles) 1301

Explicit machine computation and programs (not the theory of computation or programming) 30

Linear relations (multivalued linear operators) 334

Several-variable operator theory (spectral, Fredholm, etc.) 870

Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. 377

Functions whose values are linear operators (operator and matrix valued functions, etc., including analytic and meromorphic ones) 1849

Factorization theory (including Wiener-Hopf and spectral factorizations) 1022

(Generalized) eigenfunction expansions; rigged Hilbert space (Generalized) eigenfunction expansions; rigged Hilbert spaces 1500

Operators belonging to operator ideals (nuclear, $p$-summing, in the Schatten-von Neumann classes, etc.) [See also 47L20] 3650

Hermitian and normal operators (spectral measures, functional calculus, etc.) 2477

Symmetric and selfadjoint operators (unbounded) 3178

Operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) [See also 46E22] 657

Operators on special spaces (weighted shifts, operators on sequence spaces, etc.) 2753

Operators on function spaces (general) 6450

Transformers, preservers (operators on spaces of operators) 729

Ordinary differential operators [See also 34Bxx, 34Lxx] (should also be assigned at least one other classification number in section 47) 5133

Partial differential operators [See also 35Pxx, 58Jxx] (should also be assigned at least one other classification number in section 47) 5210

Nonlinear operators and their properties [For global and geometric aspects, see 49J53, 58-XX, especially 58Cxx] 30962

Particular nonlinear operators (superposition, Hammerstein, NemytskiÄ, Uryson, etc.) [See also 45Gxx, 45P05] 1075

Equations and inequalities involving nonlinear operators [See also 46Txx] [For global and geometric aspects, see 58-XX] 19722

Variational and other types of inequalities involving nonlinear operators (general) [See also 49J40] 3173

Representations of (nonselfadjoint) operator algebras 163

Crossed product algebras (analytic crossed products) 110

Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) 499