Functional analysis

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Classic exposition of modern theories of differentiation and integration and the principal problems and methods of handling integral equations and linear functionals and transformations. Topics include Lebesque and Stieltjes integrals, Hilbert and Banach spaces, self-adjunct transformations, spectral theories for linear transformations of general type, and more.

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Title Statements

Full title :Functional analysis / Frigyes Riesz and Béla Sz.-Nagy ; translated from the 2nd French edition by Leo F. Boron.

Summary

Edition Statements

Publication Date:1990.
Edition:Dover ed

Publication Statements

Publisher(s):Dover Publications
Place of Publication:New York
Language:eng
Publication Date:1990.

Notes

Translation of: Leçons d'analyse fonctionelle.

"An unabridged republication of the work first published by Frederick Ungar Publishing Co., New York, in 1955. The appendix, Extensions of linear transformations in Hilbert space which extend beyond this space, separately published by Ungar in 1960, has been added to this edition"--Title page verso.

The Physical Object

Description:xii, 504 pages ; : 21 cm

Edition Identifiers

ISBN:0486662896, 9780486662893
oclc:ocm21228994
LC Classification:QA320
Dewey Decimal:515/.7

pt. I. Modern theories of differentiation and integration. 1. Differentiation -- 2. The Lebesgue integral -- 3. The Stieltjes integral and its generalizations -- pt. II. Integral equations. Linear transformations. 4. Integral equations -- 5. Hilbert and Banach spaces -- 6. Completely continuous symmetric transformations of Hilbert space -- 7. Bounded symmetric, unitary, and normal transformations of Hilbert space -- 8. Unbounded linear transformations of Hilbert space -- 9. Self-adjoint transformations. Functional calculus, spectrum, perturbations -- 10. Groups and semigroups of transformations -- Spectral theories for linear transformations of general type.