## 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 Branges-Rovnyak 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 (Lp-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 (1)
- 46E39 Sobolev (and similar kinds of) spaces of functions of discrete variables
- 46E40 Spaces of vector- and operator-valued 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