## Mathematical Subject Classification – MSC2010

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

Instructional exposition (textbooks, tutorial papers, etc.)
948

Research exposition (monographs, survey articles)
1392

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

Locally convex Fréchet spaces and (DF)-spaces
1402

Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.)
1044

Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.)
649

Other “topological” linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than $\Bbb R$, etc.)
723

Open mapping and closed graph theorems; completeness (including $B$-, $B_r$-completeness)
789

Topological invariants ((DN), ($\Omega$), etc.)
106

Saks spaces and their duals (strict topologies, mixed topologies, two-norm spaces, co-Saks spaces, etc.)
246

Isomorphic theory (including renorming) of Banach spaces
1959

Compactness in Banach (or normed) spaces
365

Inner product spaces and their generalizations, Hilbert spaces [For function spaces, see 46Exx]
4672

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product)
1716

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]
1391

Rings and algebras of continuous, differentiable or analytic functions [For Banach function algebras, see 46J10, 46J15]
1013

Spaces of measurable functions ($L^p$-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
10469

Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.)
490

Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces) [See also 28-XX, 46Txx]
8287

Topological algebras, normed rings and algebras, Banach algebras [For group algebras, convolution algebras and measure algebras, see 43A10, 43A20]
6563

Nonselfadjoint (sub)algebras in algebras with involution
78

Selfadjoint operator algebras ($C^*$-algebras, von Neumann ($W^*$-) algebras, etc.) [See also 22D25, 47Lxx]
22315

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