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Functional Analysis

By: Riesz,FrigyesContributor(s): Sz.-Nagy, BelaMaterial type: Text

TextPublication details: New York : Dover Publications, 1990Description: xii, 504 pagesISBN: 9780486662893; 0486662896 Subject(s): Functional analysisDDC classification: 515.7

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.

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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Holdings
Item type	Current library	Collection	Call number	Status	Date due	Barcode	Item holds
Reference Books	Main Library Reference	Reference	515.7 RIE (Browse shelf(Opens below))	Available		009824

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Previous	515.7 KRI Textbook of Functional Analysis: A Problem-Oriented Approach	515.7 LIM Functional Analysis	515.7 PON Foundations of Functional Analysis	515.7 RIE Functional Analysis	515.7 SHI Elementary Functional Analysis	515.7 TAY Introduction to Functional Analysis	515.7 YOS Functional Analysis	Next

Bibliography & Index

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.

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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