46XX 


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


4600 
General reference works (handbooks, dictionaries, bibliographies, etc.) 


4601 
Instructional exposition (textbooks, tutorial papers, etc.) 


4602 
Research exposition (monographs, survey articles) 


4603 
Historical (must also be assigned at least one classification number from Section 01) 


4604 
Explicit machine computation and programs (not the theory of computation or programming) 


4606 
Proceedings, conferences, collections, etc. 

46Axx 

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

46Bxx 

Normed linear spaces and Banach spaces; Banach lattices {For function spaces, see 46Exx} 

46Cxx 

Inner product spaces and their generalizations, Hilbert spaces {For function spaces, see 46Exx} 

46Exx 

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

46Fxx 

Distributions, generalized functions, distribution spaces [See also 46T30] 

46Gxx 

Measures, integration, derivative, holomorphy (all involving infinitedimensional spaces) [See also 28XX, 46Txx] 

46Hxx 

Topological algebras, normed rings and algebras, Banach algebras {For group algebras, convolution algebras and measure algebras, see } 

46Jxx 

Commutative Banach algebras and commutative topological algebras [See also 46E25] 

46Kxx 

Topological (rings and) algebras with an involution [See also 16W10] 

46Lxx 

Selfadjoint operator algebras ($C^*$algebras, von Neumann ($W$*) algebras, etc.) [See also 22D25, 47Lxx] 

46Mxx 

Methods of category theory in functional analysis [See also 18XX] 

46Nxx 

Miscellaneous applications of functional analysis [See also 47Nxx] 

46Sxx 

Other (nonclassical) types of functional analysis [See also 47Sxx] 

46Txx 

Nonlinear functional analysis [See also 47Hxx, 47Jxx, 58Cxx, 58Dxx] 