## Mathematical Subject Classification – MSC2010

General reference works (handbooks, dictionaries, bibliographies, etc.)
93

Instructional exposition (textbooks, tutorial papers, etc.)
943

Research exposition (monographs, survey articles)
1381

Explicit machine computation and programs (not the theory of computation or programming)
3

Locally convex Fréchet spaces and (DF)-spaces
1400

Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.)
1043

Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.)
645

Other “topological” linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than $\Bbb R$, etc.)
722

Open mapping and closed graph theorems; completeness (including $B$-, $B_r$-completeness)
790

Topological invariants ((DN), ($\Omega$), etc.)
105

Saks spaces and their duals (strict topologies, mixed topologies, two-norm spaces, co-Saks spaces, etc.)
247

Isomorphic theory (including renorming) of Banach spaces
1953

Compactness in Banach (or normed) spaces
358

Inner product spaces and their generalizations, Hilbert spaces [For function spaces, see 46Exx]
4644

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product)
1699

Hilbert subspaces (= operator ranges); complementation (Aronszajn, de Branges, etc.) [See also 46B70, 46M35]
100

Generalizations of inner products (semi-inner products, partial inner products, etc.)
340

Hilbert spaces with reproducing kernels (= [proper] functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) [See also 47B32]
1364

Rings and algebras of continuous, differentiable or analytic functions [For Banach function algebras, see 46J10, 46J15]
1008

Spaces of measurable functions ($L^p$-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
10407

Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.)
486

Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces) [See also 28-XX, 46Txx]
8239

Topological algebras, normed rings and algebras, Banach algebras [For group algebras, convolution algebras and measure algebras, see 43A10, 43A20]
6540

Nonselfadjoint (sub)algebras in algebras with involution
78

Selfadjoint operator algebras ($C^*$-algebras, von Neumann ($W^*$-) algebras, etc.) [See also 22D25, 47Lxx]
22160

Homological methods (exact sequences, right inverses, lifting, etc.)
244