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Functional Analysis

By: Contributor(s): Material type: TextTextPublication details: New York : Dover Publications, 1990.Description: xii, 504 pagesISBN:
  • 9780486662893
  • 0486662896
Subject(s): DDC classification:
  • 515.7 RIE
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 Reference Books Main Library Reference Reference 515.7 RIE (Browse shelf(Opens below)) Available 009824
Total holds: 0

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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