## Mathematics Subject Classification – MSC2010

General reference works (handbooks, dictionaries, bibliographies, etc.) 33

Instructional exposition (textbooks, tutorial papers, etc.) 507

Research exposition (monographs, survey articles) 1316

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

Linear relations (multivalued linear operators) 344

Several-variable operator theory (spectral, Fredholm, etc.) 892

Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. 383

(Semi-) Fredholm operators; index theories [See also 58B15, 58J20 (Semi-) Fredholm operators; index theories [See also 58B15, 58J20] 3371

Functions whose values are linear operators (operator and matrix valued functions, etc., including analytic and meromorphic ones) 1865

Factorization theory (including Wiener-Hopf and spectral factorizations) 1031

(Generalized) eigenfunction expansions; rigged Hilbert space (Generalized) eigenfunction expansions; rigged Hilbert spaces 1505

Operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.) [See also 47L20] 3680

Hermitian and normal operators (spectral measures, functional calculus, etc.) 2491

Symmetric and selfadjoint operators (unbounded) 3204

Operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) [See also 46E22] 677

Operators on special spaces (weighted shifts, operators on sequence spaces, etc.) 2782

Operators on function spaces (general) 6516

Transformers, preservers (operators on spaces of operators) 753

Ordinary differential operators [See also 34Bxx, 34Lxx] (should also be assigned at least one other classification number in section 47) 5174

Partial differential operators [See also 35Pxx, 58Jxx] (should also be assigned at least one other classification number in section 47) 5237

Nonlinear operators and their properties [For global and geometric aspects, see 49J53, 58-XX, especially 58Cxx] 31688

Particular nonlinear operators (superposition, Hammerstein, NemytskiÄ, Uryson, etc.) [See also 45Gxx, 45P05] 1085

Equations and inequalities involving nonlinear operators [See also 46Txx] [For global and geometric aspects, see 58-XX] 19961

Variational and other types of inequalities involving nonlinear operators (general) [See also 49J40] 3233

Representations of (nonselfadjoint) operator algebras 165

Crossed product algebras (analytic crossed products) 114

Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) 503