Spectral Theory of Operators on Hilbert Spaces

2012
ISBN: 978-0-8176-8327-6
Verlag: SPRINGER NATURE

Buch, Englisch, 197 Seiten, Book, Format (B × H): 163 mm x 249 mm, Gewicht: 459 g

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.

Zielgruppe

Graduate

Autoren/Hrsg.

Kubrusly, Carlos S.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
• Mathematik | Informatik Mathematik Algebra Lineare und multilineare Algebra, Matrizentheorie
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

Preface.- Preliminaries.- Spectrum.- Spectral Theorem.- Functional Calculus.- Fredholm Theory.- References.- Index.

Über Autor(innen)

Kubrusly, Carlos S.
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 a hundred scientific articles in international journals and proceedings of international conferences. He has participated in about forty 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. He was the editor-in-chief of the journal Computational and Applied Mathematics (published by Birkhäuser/Boston 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, namely, "An Introduction to Models and Decompositions in Operator Theory", "Elements of Operator Theory", and "Hilbert Space Operators", all published by Birkhäuser/Boston 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/Springer in 2011.

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.