### 46Axx Topological linear spaces and related structures,

{For function spaces, see 46Exx}
- 46A03 General theory of locally convex spaces
- 46A04 Locally convex Frechet spaces and (DF)-spaces
- 46A08 Barrelled spaces, bornological spaces
- 46A11 Spaces determined by compactness or summability properties
(nuclear spaces, Schwartz spaces, Montel spaces, etc.)
- 46A13 Spaces defined by inductive or projective limits (LB, LF, etc.), See also {46M40}
- 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-reflexivity, See also {46B10}
- 46A30 Open mapping and closed graph theorems; completeness
(including $B$-, $B_r$-completeness)
- 46A32 Spaces of linear operators; topological tensor products; approximation properties, See also {46B28, 46M05, 47D15, 47D50}
- 46A35 Summability and bases, See also {46B15}
- 46A40 Ordered topological linear spaces, vector lattices, See also {06F20, 46B40, 46B42}
- 46A45 Sequence spaces (including Kothe 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}
- 46A70 Saks spaces and their duals (strict topologies, mixed topologies, two-norm spaces, co-Saks spaces, etc.)
- 46A80 Modular spaces
- 46A99 None of the above but in this section

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