46Axx Topological linear spaces and related structures (For function spaces, see 46Exx)
- 46A03 General theory of locally convex spaces
- 46A04 Locally convex Fréchet spaces and (DF)-spaces
- 46A08 Barrelled spaces, bornological spaces
- 46A11 Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.)
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46A13 Spaces defined by inductive or projective limits (LB, LF, etc.) [See also 46M40]
(1)
- 46A16 Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.)
- 46A17 Bornologies and related structures; Mackey convergence, etc.
- 46A19 Other "topological" linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than R, etc.)
- 46A20 Duality theory
- 46A22 Theorems of Hahn-Banach type; extension and lifting of functionals and operators [See also 46M10]
- 46A25 Reflexivity and semi-re
- 46A30 Open mapping and closed graph theorems; completeness (including B-, Br-completeness)
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46A32 Spaces of linear operators; topological tensor products; approximation properties [See also 46B28, 46M05, 47L05, 47L20]
(1)
- 46A35 Summability and bases [See also 46B15]
- 46A40 Ordered topological linear spaces, vector lattices [See also 06F20, 46B40, 46B42]
- 46A45 Sequence spaces (including Köthe sequence spaces) [See also 46B45]
- 46A50 Compactness in topological linear spaces; angelic spaces, etc.
- 46A55 Convex sets in topological linear spaces; Choquet theory [See also 52A07]
- 46A61 Graded Fréchet spaces and tame operators
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46A63 Topological invariants ((DN), ( ), etc.)
(2)
- 46A70 Saks spaces and their duals (strict topologies, mixed topologies, twonorm spaces, co-Saks spaces, etc.)
- 46A80 Modular spaces
- 46A99 None of the above, but in this section
