## Mathematics Subject Classification – MSC2010

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

Instructional exposition (textbooks, tutorial papers, etc.) 494

Research exposition (monographs, survey articles) 1287

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

Linear relations (multivalued linear operators) 325

Several-variable operator theory (spectral, Fredholm, etc.) 851

Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. 372

Functions whose values are linear operators (operator and matrix valued functions, etc., including analytic and meromorphic ones) 1830

Factorization theory (including Wiener-Hopf and spectral factorizations) 1015

(Generalized) eigenfunction expansions; rigged Hilbert space (Generalized) eigenfunction expansions; rigged Hilbert spaces 1495

Operators belonging to operator ideals (nuclear, $p$-summing, in the Schatten-von Neumann classes, etc.) [See also 47L20] 3617

Hermitian and normal operators (spectral measures, functional calculus, etc.) 2455

Symmetric and selfadjoint operators (unbounded) 3133

Operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) [See also 46E22] 636

Operators on special spaces (weighted shifts, operators on sequence spaces, etc.) 2711

Operators on function spaces (general) 6390

Transformers, preservers (operators on spaces of operators) 699

Ordinary differential operators [See also 34Bxx, 34Lxx] (should also be assigned at least one other classification number in section 47) 5101

Partial differential operators [See also 35Pxx, 58Jxx] (should also be assigned at least one other classification number in section 47) 5181

Nonlinear operators and their properties [For global and geometric aspects, see 49J53, 58-XX, especially 58Cxx] 30495

Particular nonlinear operators (superposition, Hammerstein, NemytskiÄ, Uryson, etc.) [See also 45Gxx, 45P05] 1057

Equations and inequalities involving nonlinear operators [See also 46Txx] [For global and geometric aspects, see 58-XX] 19376

Variational and other types of inequalities involving nonlinear operators (general) [See also 49J40] 3114

Representations of (nonselfadjoint) operator algebras 155

Crossed product algebras (analytic crossed products) 105

Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) 490