Zentralblatt MATH

64 Operator theory47A60 Functional calculus47A62 Equations involving linear operators,with operator unknowns47A63 Operator inequalities47A64 Operator means, shorted operators, etc.47A65 Structure theory47A66 Quasitriangular and nonquasitriangular,quasidiagonal and nonquasidiagonaloperators47A67 Representation theory47A68 Factorization theory (including Wiener-Hopf and spectral factorizations)47A70 (Generalized) eigenfunction expansions;rigged Hilbert spaces47A75 Eigenvalue problems[See also 47J10, 49R05]47A80 Tensor products of operators[See also 46M05]47A99 None of the above, but in this section47Bxx Special classes of linear operators47B06 Riesz operators; eigenvalue distributions;approximation numbers, s-numbers, Kolmogorov numbers, entropynumbers, etc. of operators47B07 Operators defined by compactness properties47B10 Operators belonging to operator ideals(nuclear, p-summing, in the SchattenvonNeumann classes, etc.)[See also 47L20]47B15 Hermitian and normal operators (spectralmeasures, functional calculus, etc.)47B20 Subnormal operators, hyponormal operators,etc.47B25 Symmetric and selfadjoint operators(unbounded)47B32 Operators in reproducing-kernel Hilbertspaces (including de Branges, deBranges-Rovnyak, and other structuredspaces) [See also 46E22]47B33 Composition operators47B34 Kernel operators47B35 Toeplitz operators, Hankel operators,Wiener-Hopf operators [See also 45P05,47G10 for other integral operators; seealso 32A25, 32M15]47B36 Jacobi (tridiagonal) operators (matrices)and generalizations47B37 Operators on special spaces (weightedshifts, operators on sequence spaces,etc.)47B38 Operators on function spaces (general)47B39 Difference operators [See also 39A70]47B40 Spectral operators, decomposable operators,well-bounded operators, etc.47B44 Accretive operators, dissipative operators,etc.47B47 Commutators, derivations, elementaryoperators, etc.47B48 Operators on Banach algebras47B49 Transformers, preservers(operators on spaces of operators)47B50 Operators on spaces with an indefinitemetric [See also 46C50]47B60 Operators on ordered spaces47B65 Positive operators and order-boundedoperators47B80 Random operators[See also 47H40, 60H25]47B99 None of the above, but in this section47Cxx Individual linear operators as elementsof algebraic systems47C05 Operators in algebras47C10 Operators in ∗ -algebras47C15 Operators in C ∗ - or von Neumann algebras47C99 None of the above, but in this section47Dxx Groups and semigroups of linearoperators, their generalizations andapplications47D03 Groups and semigroups of linear operators(For nonlinear operators, see 47H20;see also 20M20)47D06 One-parameter semigroups and linearevolution equations[See also 34G10, 34K30]47D07 Markov semigroups and applications todiffusion processes(For Markov processes, see 60Jxx)47D08 Schrödinger and Feynman-Kac semigroups47D09 Operator sine and cosine functions andhigher-order Cauchy problems[See also 34G10]47D60 C-semigroups, regularized semigroups