Spectral Theory of Operators on Hilbert Spaces

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9780817683276: Spectral Theory of Operators on Hilbert Spaces

This work is a concise introduction to spectral theory of Hilbert space operators. Its emphasis is on recent aspects of theory and detailed proofs, with the primary goal of offering a modern introductory textbook for a first graduate course in the subject. The coverage of topics is thorough, as the book explores various delicate points and hidden features often left untreated.

Spectral Theory of Operators on Hilbert Spaces is addressed to an interdisciplinary audience of graduate students in mathematics, statistics, economics, engineering, and physics. It will also be useful to working mathematicians using spectral theory of Hilbert space operators, as well as for scientists wishing to apply spectral theory to their field.

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From the Back Cover:

This work is intended to provide a concise introduction to the spectral theory of Hilbert space operators. With an emphasis on detailed proofs and recent aspects of theory, it can serve as a modern textbook for a first graduate course in the subject. The coverage of topics is thorough, exploring various intricate points and hidden features often left untreated.

The book begins with a primer on Hilbert space theory, summarizing the basics required for the remainder of the book and establishing unified notation and terminology. After this, standard spectral results for (bounded linear) operators on Banach and Hilbert spaces, including the classical partition of the spectrum and spectral properties for specific classes of operators, are discussed. A study of the spectral theorem for normal operators follows, covering both the compact and the general case, and proving both versions of the theorem in full detail. This leads into an investigation of functional calculus for normal operators and Riesz functional calculus, which in turn is followed by Fredholm theory and compact perturbations of the spectrum, where a finer analysis of the spectrum is worked out. Here, further partitions involving the essential spectrum, including the Weyl and Browder spectra, are introduced. The final section of the book deals with Weyl's and Browder's theorems and provides a look at very recent results. 

Spectral Theory of Operators on Hilbert Spaces is addressed to an interdisciplinary audience of graduate students in mathematics, statistics, economics, engineering, and physics. It will be useful for working mathematicians using spectral theory of Hilbert space operators, as well as for scientists wishing to harness the applications of this theory.

About the Author:

Carlos Kubrusly was born in Rio de Janeiro in November 1947. He received his Ph.D. from the University of Warwick in 1976, held postdoctoral visiting research positions at the Universities of Warwick and Bonn, and has been a faculty member of Catholic University of Rio de Janeiro since 1972, where he became a full professor in 1988. Professor Kubrusly has published over 100 scientific articles in international journals and proceedings of international conferences. He has participated in approximately 40 scientific conferences, all with paper presentation, including plenary sections at the Toulouse IFAC Symposium in 1982 and at the Newport Beach SOTA Conference in 1998, and has also been a member of program committees of several international conferences.

Professor Kubrusly was the editor-in-chief of the journal Computational and Applied Mathematics (published by Birkhäuser from 1992 to 1998), and coeditor of the book Semigroups of Operators: Theory and Applications (Optimization Software, Los Angeles, 2002). He is the author of five books: "An Introduction to Models and Decompositions in Operator Theory", "Elements of Operator Theory", and "Hilbert Space Operators", all published by Birkhäuser in 1997, 2001, and 2003, respectively; "Measure Theory" by Academic Press in 2007; and recently, "The Elements of Operator Theory" (2nd enlarged and updated edition of "Elements of Operator Theory") published by Birkhäuser in 2011.

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Carlos S. Kubrusly
Editorial: BIRKHAUSER BOSTON INC, United States (2012)
ISBN 10: 0817683275 ISBN 13: 9780817683276
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Descripción BIRKHAUSER BOSTON INC, United States, 2012. Hardback. Estado de conservación: New. 2012 ed.. Language: English . Brand New Book. This work is a concise introduction to spectral theory of Hilbert space operators. Its emphasis is on recent aspects of theory and detailed proofs, with the primary goal of offering a modern introductory textbook for a first graduate course in the subject. The coverage of topics is thorough, as the book explores various delicate points and hidden features often left untreated. Spectral Theory of Operators on Hilbert Spaces is addressed to an interdisciplinary audience of graduate students in mathematics, statistics, economics, engineering, and physics. It will also be useful to working mathematicians using spectral theory of Hilbert space operators, as well as for scientists wishing to apply spectral theory to their field. Nº de ref. de la librería LIB9780817683276

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Carlos S. Kubrusly
Editorial: Birkhäuser Boston 2012-06-01, New York (2012)
ISBN 10: 0817683275 ISBN 13: 9780817683276
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Descripción Birkhäuser Boston 2012-06-01, New York, 2012. hardback. Estado de conservación: New. Nº de ref. de la librería 9780817683276

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Carlos S. Kubrusly
Editorial: BIRKHAUSER BOSTON INC, United States (2012)
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Descripción BIRKHAUSER BOSTON INC, United States, 2012. Hardback. Estado de conservación: New. 2012 ed.. Language: English . Brand New Book. This work is a concise introduction to spectral theory of Hilbert space operators. Its emphasis is on recent aspects of theory and detailed proofs, with the primary goal of offering a modern introductory textbook for a first graduate course in the subject. The coverage of topics is thorough, as the book explores various delicate points and hidden features often left untreated. Spectral Theory of Operators on Hilbert Spaces is addressed to an interdisciplinary audience of graduate students in mathematics, statistics, economics, engineering, and physics. It will also be useful to working mathematicians using spectral theory of Hilbert space operators, as well as for scientists wishing to apply spectral theory to their field. â. Nº de ref. de la librería LIB9780817683276

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Carlos S. Kubrusly
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Descripción Springer Basel AG Jun 2012, 2012. Buch. Estado de conservación: Neu. Neuware - This work is a concise introduction to spectral theory of Hilbert space operators. Its emphasis is on recent aspects of theory and detailed proofs, with the primary goal of offering a modern introductory textbook for a first graduate course in the subject. The coverage of topics is thorough, as the book explores various delicate points and hidden features often left untreated. Spectral Theory of Operators on Hilbert Spaces is addressed to an interdisciplinary audience of graduate students in mathematics, statistics, economics, engineering, and physics. It will also be useful to working mathematicians using spectral theory of Hilbert space operators, as well as for scientists wishing to apply spectral theory to their field. 197 pp. Englisch. Nº de ref. de la librería 9780817683276

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