A short course on spectral theory
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Word Count
33,750 words, Guess
Page Count
135 pages
Identifiers
- Internet Archiveshortcourseonspe00arve_130
- Internet Archiveshortcourseonspe00arve_539
- Internet Archiveshortcourseonspe00arve_819
- Internet Archiveshortcourseonspe00arve_872
- Internet Archiveshortcourseonspe0000arve
and 8 more
- ISBN-100387953000
- ISBN-139780387953007
- Goodreads6113868
- LibraryThing1063778
- Library of Congress Control Number2001032836
- OCLC Control Number46908837
- Better World Books9780387953007
- Open LibraryOL15578079M
Classifications
- LCCQA320 .A78 2002
- LCCQA1-939
Description
This book presents the basic tools of modern analysis within the context of the fundamental problem of operator theory: to calculate spectra of specific operators on infinite dimensional spaces, especially operators on Hilbert spaces. The tools are diverse, and they provide the basis for more refined methods that allow one to approach problems that go well beyond the computation of spectra: the mathematical foundations of quantum physics, noncommutative k-theory, and the classification of simple C*-algebras being three areas of current research activity which require mastery of the material presented here. The book is based on a fifteen-week course which the author offered to first or second year graduate students with a foundation in measure theory and elementary functional analysis.
Subjects
Series Statement
- Graduate texts in mathematics -- 209
Other Editions
- A short course on spectral theory
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