Balakrishnan, A. V. Applied functional analysis. 2nd ed. (English) Zbl 0459.46014 Applications of Mathematics, Vol. 3. New York - Heidelberg -Berlin: Springer-Verlag. XIII, 373 p. DM 68.00; $ 32.40 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 5 ReviewsCited in 112 Documents MSC: 46Cxx Inner product spaces and their generalizations, Hilbert spaces 46-02 Research exposition (monographs, survey articles) pertaining to functional analysis 49-02 Research exposition (monographs, survey articles) pertaining to calculus of variations and optimal control 46G12 Measures and integration on abstract linear spaces 28C20 Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) 47B10 Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.) 49J55 Existence of optimal solutions to problems involving randomness 49J27 Existence theories for problems in abstract spaces 60B11 Probability theory on linear topological spaces Keywords:Gaussian measures; tensor products of Hilbert spaces; Hilbert-Schmidt- operators; nuclear operators; multilinear forms; finitely additive measures in Hilbert space Citations:Zbl 0333.93051; Zbl 0224.93053; Zbl 0207.001 × Cite Format Result Cite Review PDF