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[en] This paper provides the basic analytical background for applications in optimization, stability and control theory. Proofs are generally omitted. The topics of the sections are the following: 1. Normed linear spaces; 2. Metric spaces; 3. Measure theory and Lebesgue integration; 4. Hilbert spaces; 5. Linear functionals, weak convergence and weak compactness; 6. Linear operators; 7. Spectral theory; 8. Probability measures; 9. Calculus in Banach spaces. (author)
Source
International Centre for Theoretical Physics, Trieste (Italy); v. 1 p. 101-178; ISBN 92-0-130076-X; 
; 1976; IAEA; Vienna; International seminar course on control theory and topics in functional analysis; Trieste, Italy; 11 Sep 1974; IAEA-SMR--17/2
; 1976; IAEA; Vienna; International seminar course on control theory and topics in functional analysis; Trieste, Italy; 11 Sep 1974; IAEA-SMR--17/2