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]
(1)
 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 (Lpspaces, 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
(1)
 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