## Mathematics Subject Classification – MSC2010

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

Instructional exposition (textbooks, tutorial papers, etc.) 504

Research exposition (monographs, survey articles) 1303

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

Linear relations (multivalued linear operators) 337

Several-variable operator theory (spectral, Fredholm, etc.) 874

Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. 379

Functions whose values are linear operators (operator and matrix valued functions, etc., including analytic and meromorphic ones) 1851

Factorization theory (including Wiener-Hopf and spectral factorizations) 1024

(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] 3658

Hermitian and normal operators (spectral measures, functional calculus, etc.) 2482

Symmetric and selfadjoint operators (unbounded) 3186

Operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) [See also 46E22] 665

Operators on special spaces (weighted shifts, operators on sequence spaces, etc.) 2755

Operators on function spaces (general) 6460

Transformers, preservers (operators on spaces of operators) 732

Ordinary differential operators [See also 34Bxx, 34Lxx] (should also be assigned at least one other classification number in section 47) 5139

Partial differential operators [See also 35Pxx, 58Jxx] (should also be assigned at least one other classification number in section 47) 5213

Nonlinear operators and their properties [For global and geometric aspects, see 49J53, 58-XX, especially 58Cxx] 31035

Particular nonlinear operators (superposition, Hammerstein, NemytskiÄ, Uryson, etc.) [See also 45Gxx, 45P05] 1074

Equations and inequalities involving nonlinear operators [See also 46Txx] [For global and geometric aspects, see 58-XX] 19757

Variational and other types of inequalities involving nonlinear operators (general) [See also 49J40] 3182

Representations of (nonselfadjoint) operator algebras 164

Crossed product algebras (analytic crossed products) 111

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