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Analysis and partial differential equations
MSC2020 · 46Axx
Topological linear spaces and related structures
Topological linear spaces and related structures \{For function spaces, see 46Exx\}
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Subcategories
46A03General theory of locally convex spaces046A04Locally convex Fréchet spaces and (DF)-spaces046A08Barrelled spaces, bornological spaces046A11Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.)046A13Spaces defined by inductive or projective limits (LB, LF, etc.)046A16Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.)046A17Bornologies and related structures; Mackey convergence, etc.046A19Other ``topological'' linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than , etc.)046A20Duality theory for topological vector spaces046A22Theorems of Hahn-Banach type; extension and lifting of functionals and operators046A25Reflexivity and semi-reflexivity046A30Open mapping and closed graph theorems; completeness (including -, -completeness)046A32Spaces of linear operators; topological tensor products; approximation properties046A35Summability and bases in topological vector spaces046A40Ordered topological linear spaces, vector lattices046A45Sequence spaces (including Köthe sequence spaces)046A50Compactness in topological linear spaces; angelic spaces, etc.046A55Convex sets in topological linear spaces; Choquet theory046A61Graded Fréchet spaces and tame operators046A63Topological invariants ((DN), (), etc.) for locally convex spaces046A70Saks spaces and their duals (strict topologies, mixed topologies, two-norm spaces, co-Saks spaces, etc.)046A80Modular spaces046A99Topological linear spaces and related structures0
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Journals & articles in MSC 46
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