Functional analysis. 6th ed. (English) Zbl 0435.46002

Grundlehren der mathematischen Wissenschaften, 123. Berlin-Heidelberg-New York: Springer-Verlag. XII, 501 p. DM 69.00; $ 40.60 (1980).


46A03 General theory of locally convex spaces
46Bxx Normed linear spaces and Banach spaces; Banach lattices
46A30 Open mapping and closed graph theorems; completeness (including \(B\)-, \(B_r\)-completeness)
46A08 Barrelled spaces, bornological spaces
46Cxx Inner product spaces and their generalizations, Hilbert spaces
46A04 Locally convex Fréchet spaces and (DF)-spaces
46A20 Duality theory for topological vector spaces
46Fxx Distributions, generalized functions, distribution spaces
47F05 General theory of partial differential operators
46J05 General theory of commutative topological algebras
46A55 Convex sets in topological linear spaces; Choquet theory
47D03 Groups and semigroups of linear operators
47D07 Markov semigroups and applications to diffusion processes
28D05 Measure-preserving transformations
46-02 Research exposition (monographs, survey articles) pertaining to functional analysis