Functional analysis [electronic resource] : spectral theory / V. S. Sunder.

Call Number	515.7
Author	Sunder, V. S.
Title	Functional analysis spectral theory / V. S. Sunder.
Edition	1st ed.
Publication	New Delhi : Hindustan Book Agency, 1997.
Physical Description	1 online resource (320 pages)
Series	Texts and Readings in Mathematics ; 13
Contents	Functional analysis : spectral theory -- Preface -- Acknowledgements -- Contents -- Chapter 1 : Normed spaces -- Chapter 2 : Hilbert spaces -- Chapter 3 : C*-algebras -- Chapter 4 : Some Operator theory -- Chapter 5 : Unbounded operators -- Appendix A -- Bibliography -- Index -- Back Cover.
Summary	This book grew out of a course that the author gave at the Institute of Mathematical Sciences, Chennai. The goal of this book is to begin with the basics of normed linear spaces, quickly specialise to Hilbert spaces and to get to the spectral theorem for bounded as well as unbounded operators on separable Hilbert space. The first two chapters are devoted to basic propositions concerning normed vector spaces and Hilbert spaces The third chapter begins with the standard Gelfand theory of commutative Banch algebras, and proceeds to the Gelfand-Naimark theorem on commutative C* -algebras, followed by a discussion of representations of C* -algebras; the final section of this chapter is devoted to the Hahn-Hellinger classification of separable representations of a commutative C* -algebra. The fourth chapter is devoted to more standard operator theory in Hilbert space. The fifth and final chapter is a brief introduction to the theory of unbounded operators on Hilbert space.
Subject	Electronic books.
Multimedia	https://portal.igpublish.com/iglibrary/search/HBAB0000060.html

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$a Functional analysis : spectral theory -- Preface -- Acknowledgements -- Contents -- Chapter 1 : Normed spaces -- Chapter 2 : Hilbert spaces -- Chapter 3 : C*-algebras -- Chapter 4 : Some Operator theory -- Chapter 5 : Unbounded operators -- Appendix A -- Bibliography -- Index -- Back Cover.

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$a This book grew out of a course that the author gave at the Institute of Mathematical Sciences, Chennai. The goal of this book is to begin with the basics of normed linear spaces, quickly specialise to Hilbert spaces and to get to the spectral theorem for bounded as well as unbounded operators on separable Hilbert space. The first two chapters are devoted to basic propositions concerning normed vector spaces and Hilbert spaces The third chapter begins with the standard Gelfand theory of commutative Banch algebras, and proceeds to the Gelfand-Naimark theorem on commutative C* -algebras, followed by a discussion of representations of C* -algebras; the final section of this chapter is devoted to the Hahn-Hellinger classification of separable representations of a commutative C* -algebra. The fourth chapter is devoted to more standard operator theory in Hilbert space. The fifth and final chapter is a brief introduction to the theory of unbounded operators on Hilbert space.

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Summary	This book grew out of a course that the author gave at the Institute of Mathematical Sciences, Chennai. The goal of this book is to begin with the basics of normed linear spaces, quickly specialise to Hilbert spaces and to get to the spectral theorem for bounded as well as unbounded operators on separable Hilbert space. The first two chapters are devoted to basic propositions concerning normed vector spaces and Hilbert spaces The third chapter begins with the standard Gelfand theory of commutative Banch algebras, and proceeds to the Gelfand-Naimark theorem on commutative C* -algebras, followed by a discussion of representations of C* -algebras; the final section of this chapter is devoted to the Hahn-Hellinger classification of separable representations of a commutative C* -algebra. The fourth chapter is devoted to more standard operator theory in Hilbert space. The fifth and final chapter is a brief introduction to the theory of unbounded operators on Hilbert space.
Contents	Functional analysis : spectral theory -- Preface -- Acknowledgements -- Contents -- Chapter 1 : Normed spaces -- Chapter 2 : Hilbert spaces -- Chapter 3 : C*-algebras -- Chapter 4 : Some Operator theory -- Chapter 5 : Unbounded operators -- Appendix A -- Bibliography -- Index -- Back Cover.
Subject	Electronic books.
Multimedia	https://portal.igpublish.com/iglibrary/search/HBAB0000060.html