46XX 


Functional analysis {For manifolds modeled on topological linear spaces, see 57Nxx, 58Bxx} 

46Axx 

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


46A03 
General theory of locally convex spaces 


46A04 
Locally convex Fréchet 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, quasiBanach 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 HahnBanach type; extension and lifting of functionals and operators [See also 46M10] 


46A25 
Reflexivity and semireflexivity [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, 47L05, 47L20] 


46A35 
Summability and bases [See also 46B15] 


46A40 
Ordered topological linear spaces, vector lattices [See also 06F20, 46B40, 46B42] 


46A45 
Sequence spaces (including Köthe 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] 


46A61 
Graded Fréchet spaces and tame operators 


46A63 
Topological invariants ((DN), ($\Omega$), etc.) 


46A70 
Saks spaces and their duals (strict topologies, mixed topologies, twonorm spaces, coSaks spaces, etc.) 


46A80 
Modular spaces 


46A99 
None of the above, but in this section 