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Banach Algebra Techniques in Operator Theory

Banach Algebra Techniques in Operator Theory
Catalogue Information
Field name Details
Dewey Class 515
Title Banach Algebra Techniques in Operator Theory ([EBook] /) / by Ronald G. Douglas.
Author Douglas, Ronald G.
Other name(s) SpringerLink (Online service)
Edition statement Second Edition.
Publication New York, NY : : Springer New York : : Imprint: Springer, , 1998.
Physical Details XVI, 198 p. : online resource.
Series Graduate texts in mathematics 0072-5285 ; ; 179
ISBN 9781461216568
Summary Note Operator theory is a diverse area of mathematics which derives its impetus and motivation from several sources. It began with the study of integral equations and now includes the study of operators and collections of operators arising in various branches of physics and mechanics. The intention of this book is to discuss certain advanced topics in operator theory and to provide the necessary background for them assuming only the standard senior-first year graduate courses in general topology, measure theory, and algebra. At the end of each chapter there are source notes which suggest additional reading along with giving some comments on who proved what and when. In addition, following each chapter is a large number of problems of varying difficulty. This new edition will appeal to a new generation of students seeking an introduction to operator theory.:
Contents note 1 Banach Spaces -- 2 Banach Algebras -- 3 Geometry of Hilbert Space -- 4 Operators on Hilbert Space and C*-Algebras -- 5 Compact Operators, Fredholm Operators, and Index Theory -- 6 The Hardy Spaces -- 7 Toeplitz Operators -- References.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site http://dx.doi.org/10.1007/978-1-4612-1656-8
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