## Mathematics Subject Classification – MSC2010

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

Instructional exposition (textbooks, tutorial papers, etc.) 500

Research exposition (monographs, survey articles) 1297

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

Linear relations (multivalued linear operators) 328

Several-variable operator theory (spectral, Fredholm, etc.) 862

Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. 375

Functions whose values are linear operators (operator and matrix valued functions, etc., including analytic and meromorphic ones) 1844

Factorization theory (including Wiener-Hopf and spectral factorizations) 1019

(Generalized) eigenfunction expansions; rigged Hilbert space (Generalized) eigenfunction expansions; rigged Hilbert spaces 1499

Operators belonging to operator ideals (nuclear, $p$-summing, in the Schatten-von Neumann classes, etc.) [See also 47L20] 3642

Hermitian and normal operators (spectral measures, functional calculus, etc.) 2473

Symmetric and selfadjoint operators (unbounded) 3163

Operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) [See also 46E22] 645

Operators on special spaces (weighted shifts, operators on sequence spaces, etc.) 2738

Operators on function spaces (general) 6430

Transformers, preservers (operators on spaces of operators) 722

Ordinary differential operators [See also 34Bxx, 34Lxx] (should also be assigned at least one other classification number in section 47) 5118

Partial differential operators [See also 35Pxx, 58Jxx] (should also be assigned at least one other classification number in section 47) 5196

Nonlinear operators and their properties [For global and geometric aspects, see 49J53, 58-XX, especially 58Cxx] 30886

Particular nonlinear operators (superposition, Hammerstein, NemytskiÄ, Uryson, etc.) [See also 45Gxx, 45P05] 1070

Equations and inequalities involving nonlinear operators [See also 46Txx] [For global and geometric aspects, see 58-XX] 19610

Variational and other types of inequalities involving nonlinear operators (general) [See also 49J40] 3154

Representations of (nonselfadjoint) operator algebras 155

Crossed product algebras (analytic crossed products) 108

Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) 495