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Functional analysis

Author: Frigyes Riesz; Béla Szőkefalvi-Nagy
Publisher: New York : Dover Publications, 1990.
Edition/Format:   Book : English : Dover edView all editions and formats
Database:WorldCat
Summary:
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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Document Type: Book
All Authors / Contributors: Frigyes Riesz; Béla Szőkefalvi-Nagy
ISBN: 0486662896 9780486662893
OCLC Number: 21228994
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"--T.p. verso.
Description: xii, 504 p. ; 21 cm.
Contents: 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.
Other Titles: Leçons d'analyse fonctionelle.
Responsibility: Frigyes Riesz and Béla Sz.-Nagy ; translated from the 2nd French edition by Leo F. Boron.
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Abstract:

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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