Mathematical Sciences Classification System

46Axx - Topological linear spaces and related structures
{For function spaces, see 46Exx}

  • 13
    46A03
    General theory of locally convex spaces
  • 46A04
    Locally convex Fréchet spaces and (DF)-spaces
  • 46A08
    Barrelled spaces, bornological spaces
  • 2
    46A11
    Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.)
  • 2
    46A13
    Spaces defined by inductive or projective limits (LB, LF, etc.) [See also 46M40]
  • 4
    46A16
    Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.)
  • 2
    46A17
    Bornologies and related structures; Mackey convergence, etc.
  • 1
    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.)
  • 46A20
    Duality theory
  • 2
    46A22
    Theorems of Hahn-Banach type; extension and lifting of functionals and operators [See also 46M10]
  • 46A25
    Reflexivity and semi-reflexivity [See also 46B10]
  • 1
    46A30
    Open mapping and closed graph theorems; completeness (including $B$-, $B_r$-completeness)
  • 2
    46A32
    Spaces of linear operators; topological tensor products; approximation properties [See also 46B28, 46M05, 47L05, 47L20]
  • 3
    46A35
    Summability and bases [See also 46B15]
  • 13
    46A40
    Ordered topological linear spaces, vector lattices [See also 06F20, 46B40, 46B42]
  • 4
    46A45
    Sequence spaces (including Köthe sequence spaces) [See also 46B45]
  • 1
    46A50
    Compactness in topological linear spaces; angelic spaces, etc.
  • 5
    46A55
    Convex sets in topological linear spaces; Choquet theory [See also 52A07]
  • 46A61
    Graded Fréchet spaces and tame operators
  • 46A63
    Topological invariants ((DN), ($\Omega$), etc.)
  • 46A70
    Saks spaces and their duals (strict topologies, mixed topologies, two-norm spaces, co-Saks spaces, etc.)
  • 2
    46A80
    Modular spaces
  • 1
    46A99
    None of the above, but in this section

Rewrite code from the image

Reload image

Reload image