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Please note that in the second half of 2009, MSC2010 is deployed in the production of ZMATH and will become official standard in January 2010.


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46-XX Functional analysis {For manifolds modeled on topological linear spaces, see 57Nxx, 58Bxx} → ZMATH
46Axx Topological linear spaces and related structures {For function spaces, see 46Exx} → ZMATH
46A03 General theory of locally convex spaces → ZMATH
46A04 Locally convex Fréchet spaces and (DF)-spaces → ZMATH
46A08 Barrelled spaces, bornological spaces → ZMATH
46A11 Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) → ZMATH
46A13 Spaces defined by inductive or projective limits (LB, LF, etc.) [See also 46M40] → ZMATH
46A16 Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) → ZMATH
46A17 Bornologies and related structures; Mackey convergence, etc. → ZMATH
46A19 Other ``topological'' linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than ${\bf R}$, etc.) → ZMATH
46A20 Duality theory → ZMATH
46A22 Theorems of Hahn-Banach type; extension and lifting of functionals and operators [See also 46M10] → ZMATH
46A25 Reflexivity and semi-reflexivity [See also 46B10] → ZMATH
46A30 Open mapping and closed graph theorems; completeness (including $B$-, $B_r$-completeness) → ZMATH
46A32 Spaces of linear operators; topological tensor products; approximation properties [See also 46B28, 46M05, 47L05, 47L20] → ZMATH
46A35 Summability and bases [See also 46B15] → ZMATH
46A40 Ordered topological linear spaces, vector lattices [See also 06F20, 46B40, 46B42] → ZMATH
46A45 Sequence spaces (including Köthe sequence spaces) [See also 46B45] → ZMATH
46A50 Compactness in topological linear spaces; angelic spaces, etc. → ZMATH
46A55 Convex sets in topological linear spaces; Choquet theory [See also 52A07] → ZMATH
46A61 Graded Fréchet spaces and tame operators → ZMATH
46A63 Topological invariants ((DN), ($\Omega$), etc.) → ZMATH
46A70 Saks spaces and their duals (strict topologies, mixed topologies, two-norm spaces, co-Saks spaces, etc.) → ZMATH
46A80 Modular spaces → ZMATH
46A99 None of the above, but in this section → ZMATH
 
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I. M. Gelfand 1913-2009
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