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A Short Course on Spectral Theory / William Arveson

By: Arveson, WilliamContributor(s): Arveson, WilliamMaterial type: Text

TextPublisher number: :International Book Distributors | :Flat No 17, Prakash Apartment 4405/2, 5 Ansari Road Darya Ganj New Delhi Series: Graduate texts in mathematics, 209Publication details: New York : Springer, ©2002Description: x, 135 pages 24cmISBN: 9780387953007Subject(s): Mathematics | Analysis | Spectral theory Mathematics | Spectre (Mathématiques) | MATHEMATICS -- Functional AnalysisDDC classification: 515.7222 ARV

Contents:

Spectral theory and Banach algebras -- Operators on Hilbert space -- Asymptotics: compact perturbations and Fredholm theory -- Methods and applications -- Bibliography -- Index.

Summary: 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

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Holdings
Item type	Current library	Call number	Status	Notes	Date due	Barcode	Item holds
Books	SNU LIBRARY	515.7222 ARV (Browse shelf(Opens below))	Checked out to Dr. Sneh Lata (20500012)	Grant Matrix	24/08/2022 00:00	27997

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Spectral theory and Banach algebras --
Operators on Hilbert space --
Asymptotics: compact perturbations and Fredholm theory --
Methods and applications --
Bibliography --
Index.

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

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