Lectures in functional analysis and operator theory. (English) Zbl 0296.46002

Graduate Texts in Mathematics. 15. New York - Heidelberg - Berlin: Springer-Verlag. IX, 345 p. DM 38.50; $ 15.70 (1974).


46-02 Research exposition (monographs, survey articles) pertaining to functional analysis
43A20 \(L^1\)-algebras on groups, semigroups, etc.
43A65 Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis)
46A03 General theory of locally convex spaces
46Axx Topological linear spaces and related structures
46Bxx Normed linear spaces and Banach spaces; Banach lattices
46Cxx Inner product spaces and their generalizations, Hilbert spaces
47-02 Research exposition (monographs, survey articles) pertaining to operator theory
46H05 General theory of topological algebras
46J05 General theory of commutative topological algebras
46K10 Representations of topological algebras with involution
46L05 General theory of \(C^*\)-algebras
46L10 General theory of von Neumann algebras
47A25 Spectral sets of linear operators
47B15 Hermitian and normal operators (spectral measures, functional calculus, etc.)