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Graduate Texts in Mathematics A Short Course on Spectral Theory William Arveson
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Ubicado en: Dayton, Ohio, Estados Unidos
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N.º de artículo de eBay:116680614712
Características del artículo
- Estado
- En buen estado
- Notas del vendedor
- “No markings or noticeable damage. Normal wear. See photos”
- ISBN
- 9780387953007
Acerca de este producto
Product Identifiers
Publisher
Springer New York
ISBN-10
0387953000
ISBN-13
9780387953007
eBay Product ID (ePID)
1942183
Product Key Features
Number of Pages
X, 139 Pages
Language
English
Publication Name
Short Course on Spectral Theory
Subject
Functional Analysis, Mathematical Analysis
Publication Year
2001
Type
Textbook
Subject Area
Mathematics
Series
Graduate Texts in Mathematics Ser.
Format
Hardcover
Dimensions
Item Weight
30.7 Oz
Item Length
9.3 in
Item Width
6.1 in
Additional Product Features
Intended Audience
Scholarly & Professional
LCCN
2001-032836
TitleLeading
A
Dewey Edition
21
Reviews
From the reviews: MATHEMATICAL REVIEWS "This book, a product of the authora's own graduate courses on spectral theory, offers readers an expert and informed treatment of the major aspects of the spectral theory of Hilbert space operators. It is evident that a great deal of thought has gone into the choice of topics, the presentation of the results, and the design of exercises. The text is clearly written and the material is motivated in a fashion that a newcomer to the subject can readily understanda? Graduate students and experienced mathematicians alike will enjoy and benefit from a close reading of this well-written book."
Series Volume Number
209
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
515/.7222
Table Of Content
Spectral Theory and Banach Algebras.- Operators on Hilbert Space.- Asymptotics: Compact Perturbations and Fredholm Theory.- Methods and Applications.
Synopsis
This book presents the basic tools of modern analysis within the context of what might be called the fundamental problem of operator theory: to c- culate spectra of speci'c operators on in'nite-dimensional spaces, especially operators on Hilbert spaces. The tools are diverse, and they provide the basis for more re'ned 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 classi'cation of sim- ? ple C -algebras being three areas of current research activity that require mastery of the material presented here. The notion of spectrum of an operator is based on the more abstract notion of the spectrum of an element of a complex Banach algebra. - ter working out these fundamentals we turn to more concrete problems of computing spectra of operators of various types. For normal operators, this amounts to a treatment of the spectral theorem. Integral operators require 2 the development of the Riesz theory of compact operators and the ideal L of Hilbert-Schmidt operators. Toeplitz operators require several important tools; in order to calculate the spectra of Toeplitz operators with continuous symbol one needs to know the theory of Fredholm operators and index, the ? structure of the Toeplitz C -algebra and its connection with the topology of curves, and the index theorem for continuous symbols., 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., This book presents the basic tools of modern analysis within the context of what might be called 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 that require mastery of the material presented here. The notion of spectrum of an operator is based on the more abstract notion of the spectrum of an element of a complex Banach algebra. After working out these fundamentals we turn to more concrete problems of computing spectra of operators of various types. For normal operators, this amounts to a treatment of the spectral theorem. Integral operators require 2 the development of the Riesz theory of compact operators and the ideal L of Hilbert-Schmidt operators. Toeplitz operators require several important tools; in order to calculate the spectra of Toeplitz operators with continuous symbol one needs to know the theory of Fredholm operators and index, the ? structure of the Toeplitz C-algebra and its connection with the topology of curves, and the index theorem for continuous symbols.
LC Classification Number
QA299.6-433
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Pop's Books
100% de votos positivos•894 artículos vendidos
Registrado como vendedor particularPor tanto, no se aplican los derechos de los consumidores derivados de las leyes de protección de los consumidores de la UE. La Garantía al cliente de eBay sigue aplicando a la mayoría de compras. Más informaciónMás información
Votos de vendedor (289)
- r***d (25)- Votos emitidos por el comprador.Mes pasadoCompra verificadaItem exactly as described and exactly like the pictures shown. It was shipped very quickly and packaged well. The book was wrapped carefully in bubble wrap and arrived in great condition. I am very pleased with my purchase and would use this seller again. The value was great and shipping was at a fair rate. All in all a great experience.
- 9***_ (186)- Votos emitidos por el comprador.Mes pasadoCompra verificadaThe item arrived early and had been packed with great care. I worried that for the great low price- at least $10 less than other sellers- that I was buying a “dud.” I have been MORE than pleased with this purchase and can highly recommend this seller. I had gotten an IP at a Goodwill store for $12.99, and realized soon after why it had been donated. It leaked all the steam before it finished cooking and would be bone dry when it was opened. This new lid saved buying a whole new IP. TY!
- n***s (764)- Votos emitidos por el comprador.Últimos 6 mesesCompra verificadaThis is a really wonderful seller. We had good correspondence, the package arrived very early carefully packaged. The cards are beautiful, and the cost was fair. Thank you.