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 ${\bf R}$, etc.)

46A20

Duality theory

46A22

Theorems of Hahn-Banach type; extension and lifting of functionals and operators [See also 46M10]