## Mathematics Subject Classification – MSC2010

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

Instructional exposition (textbooks, tutorial papers, etc.) 489

Research exposition (monographs, survey articles) 1283

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

Linear relations (multivalued linear operators) 317

Several-variable operator theory (spectral, Fredholm, etc.) 840

Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. 368

Functions whose values are linear operators (operator and matrix valued functions, etc., including analytic and meromorphic ones) 1821

Factorization theory (including Wiener-Hopf and spectral factorizations) 1012

(Generalized) eigenfunction expansions; rigged Hilbert space (Generalized) eigenfunction expansions; rigged Hilbert spaces 1493

Operators belonging to operator ideals (nuclear, $p$-summing, in the Schatten-von Neumann classes, etc.) [See also 47L20] 3603

Hermitian and normal operators (spectral measures, functional calculus, etc.) 2444

Symmetric and selfadjoint operators (unbounded) 3116

Operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) [See also 46E22] 623

Operators on special spaces (weighted shifts, operators on sequence spaces, etc.) 2702

Operators on function spaces (general) 6365

Transformers, preservers (operators on spaces of operators) 686

Ordinary differential operators [See also 34Bxx, 34Lxx] (should also be assigned at least one other classification number in section 47) 5077

Partial differential operators [See also 35Pxx, 58Jxx] (should also be assigned at least one other classification number in section 47) 5169

Nonlinear operators and their properties [For global and geometric aspects, see 49J53, 58-XX, especially 58Cxx] 30274

Particular nonlinear operators (superposition, Hammerstein, NemytskiÄ, Uryson, etc.) [See also 45Gxx, 45P05] 1049

Equations and inequalities involving nonlinear operators [See also 46Txx] [For global and geometric aspects, see 58-XX] 19240

Variational and other types of inequalities involving nonlinear operators (general) [See also 49J40] 3086

Representations of (nonselfadjoint) operator algebras 153

Crossed product algebras (analytic crossed products) 102

Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) 486