46-XX Functional analysis {For manifolds modeled on topological linear spaces, see 57Nxx, 58Bxx} 143111

46Exx Linear function spaces and their duals [See also 30H05, 32A38, 46F05] {For function algebras, see 46J10} 40460

46E22 Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) [See also 47B32] 2190

46E25 Rings and algebras of continuous, differentiable or analytic functions {For Banach function algebras, see 46J10, 46J15} 1170

46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) 13143

46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems 14413

46E36 Sobolev (and similar kinds of) spaces of functions on metric spaces; analysis on metric spaces 209

46E50 Spaces of differentiable or holomorphic functions on infinite-dimensional spaces [See also 46G20, 46G25, 47H60] 487