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