| 46-XX |
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Functional analysis {For manifolds modeled on topological linear spaces, see 57Nxx, 58Bxx} |
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46Axx |
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Topological linear spaces and related structures {For function spaces, see\newline 46Exx} |
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46A03 |
General theory of locally convex spaces |
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46A04 |
Locally convex Fréchet spaces and (DF)-spaces |
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46A08 |
Barrelled spaces, bornological spaces |
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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] |
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46A16 |
Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) |
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46A17 |
Bornologies and related structures; Mackey convergence, etc. |
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46A19 |
Other "topological'' linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than $\mathbb{R}$, etc.) |
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46A20 |
Duality theory for topological vector spaces |
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46A22 |
Theorems of Hahn-Banach type; extension and lifting of functionals and operators [See also 46M10] |
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46A25 |
Reflexivity and semi-reflexivity [See also 46B10] |
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46A30 |
Open mapping and closed graph theorems; completeness (including $B$-, $B_r$-completeness) |
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46A32 |
Spaces of linear operators; topological tensor products; approximation properties [See also 46B28, 46M05, 47L05, 47L20] |
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46A35 |
Summability and bases in topological vector spaces [See also 46B15] |
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46A40 |
Ordered topological linear spaces, vector lattices [See also 06F20, 46B40, 46B42] |
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46A45 |
Sequence spaces (including Köthe sequence spaces) [See also 46B45] |
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46A50 |
Compactness in topological linear spaces; angelic spaces, etc. |
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46A55 |
Convex sets in topological linear spaces; Choquet theory [See also 52A07] |
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46A61 |
Graded Fréchet spaces and tame operators |
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46A63 |
Topological invariants ((DN), ($\Omega$), etc.) for locally convex spaces |
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46A70 |
Saks spaces and their duals (strict topologies, mixed topologies, two-norm spaces, co-Saks spaces, etc.) |
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46A80 |
Modular spaces |
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46A99 |
None of the above, but in this section |
