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Riesz,Frigyes

Functional Analysis - New York : Dover Publications, 1990. - xii, 504 pages ;

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.

ISBN: 9780486662893 0486662896

Subjects--Topical Terms:
Functional analysis.

Dewey Class. No.: 515.7 / RIE