Introduction To Spectral Theory in Hilbert Space - Brossura

Helmberg, Gilbert

Brossura

ISBN 10: 0486466221 ISBN 13: 9780486466224

Casa editrice: Dover Pubns, 2008

Riassunto

This text introduces students to Hilbert space and bounded self-adjoint operators, as well as the spectrum of an operator and its spectral decomposition. The author, Emeritus Professor of Mathematics at the University of Innsbruck, Austria, has ensured that the treatment is accessible to readers with no further background than a familiarity with analysis and analytic geometry.
Starting with a definition of Hilbert space and its geometry, the text explores the general theory of bounded linear operators, the spectral analysis of compact linear operators, and unbounded self-adjoint operators. Extensive appendixes offer supplemental information on the graph of a linear operator and the Riemann-Stieltjes and Lebesgue integration.

Su questo libro

Contenuti

I. The concept of Hilbert space II. Specific geometry of Hilbert space III. Bounded linear operators IV. General theory of linear operators V. Spectral analysis of compact linear operators VI. Spectral analysis of bounded linear operators VII. Spectral analysis of unbounded selfadjoint operators Appendix A. The graph of a linear operator Appendix B. Riemann-Stieltjes and Lebesgue integration Bibliography Index of symbols Subject index

Product Description

Starting with a definition of Hilbert space and its geometry, this text explores the general theory of bounded linear operators, the spectral analysis of compact linear operators, and unbounded self-adjoint operators. Familiarity with analysis and analytic geometry is the only prerequisite. Extensive appendixes complement the text. 1969 edition.

Dettagli dell?edizione

• Editore: Dover Pubns
• Data di pubblicazione: 2008
• ISBN 10: 0486466221
• ISBN 13: 9780486466224
• Rilegatura: Copertina flessibile
• Lingua: Inglese
• Numero di pagine: 346