46XX 


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

46Exx 

Linear function spaces and their duals [See also 30H05, 32A38, 46F05} {For function algebras, see 46J10]} 


46E05 
Lattices of continuous, differentiable or analytic functions 


46E10 
Topological linear spaces of continuous, differentiable or analytic functions 


46E15 
Banach spaces of continuous, differentiable or analytic functions 


46E20 
Hilbert spaces of continuous, differentiable or analytic functions 


46E22 
Hilbert spaces with reproducing kernels (= [proper] functional Hilbert spaces, including de BrangesRovnyak and other structured spaces) [See also 47B32] 


46E25 
Rings and algebras of continuous, differentiable or analytic functions {For Banach function algebras, see 46J10, 46J15} 


46E27 
Spaces of measures [See also 28A33, 46Gxx] 


46E30 
Spaces of measurable functions ($L^p$spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) 


46E35 
Sobolev spaces and other spaces of "smooth'' functions, embedding theorems, trace theorems 


46E39 
Sobolev (and similar kinds of) spaces of functions of discrete variables 


46E40 
Spaces of vector and operatorvalued functions 


46E50 
Spaces of differentiable or holomorphic functions on infinitedimensional spaces [See also 46G20, 46G25, 47H60] 


46E99 
None of the above, but in this section 