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46-XX Functional analysis {For manifolds modeled on topological linear spaces, see 57Nxx, 58Bxx} → ZMATH
46-00 General reference works (handbooks, dictionaries, bibliographies, etc.) → ZMATH
46-01 Instructional exposition (textbooks, tutorial papers, etc.) → ZMATH
46-02 Research exposition (monographs, survey articles) → ZMATH
46-03 Historical (must also be assigned at least one classification number from Section 01) → ZMATH
46-04 Explicit machine computation and programs (not the theory of computation or programming) → ZMATH
46-06 Proceedings, conferences, collections, etc. → ZMATH
46Axx Topological linear spaces and related structures {For function spaces, see 46Exx} → ZMATH
46Bxx Normed linear spaces and Banach spaces; Banach lattices {For function spaces, see 46Exx} → ZMATH
46Cxx Inner product spaces and their generalizations, Hilbert spaces {For function spaces, see 46Exx} → ZMATH
46Exx Linear function spaces and their duals [See also 30H05, 32A38, 46F05] {For function algebras, see 46J10} → ZMATH
46Fxx Distributions, generalized functions, distribution spaces [See also 46T30] → ZMATH
46Gxx Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces) [See also 28-XX, 46Txx] → ZMATH
46Hxx Topological algebras, normed rings and algebras, Banach algebras {For group algebras, convolution algebras and measure algebras, see 43A10, 43A20} → ZMATH
46Jxx Commutative Banach algebras and commutative topological algebras [See also 46E25] → ZMATH
46Kxx Topological (rings and) algebras with an involution [See also 16W10] → ZMATH
46Lxx Selfadjoint operator algebras ($C^*$-algebras, von Neumann ($W$*-) algebras, etc.) [See also 22D25, 47Lxx] → ZMATH
46Mxx Methods of category theory in functional analysis [See also 18-XX] → ZMATH
46Nxx Miscellaneous applications of functional analysis [See also 47Nxx] → ZMATH
46Sxx Other (nonclassical) types of functional analysis [See also 47Sxx] → ZMATH
46Txx Nonlinear functional analysis [See also 47Hxx, 47Jxx, 58Cxx, 58Dxx] → ZMATH
Abel prize 2010
I. M. Gelfand 1913-2009

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