ELEMENTARY FUNCTIONAL ANALYSIS - Hardcover

Swartz, Charles W

 
9789814273343: ELEMENTARY FUNCTIONAL ANALYSIS
Hardcover
ISBN 10: 9814273341 ISBN 13: 9789814273343
Publisher: World Scientific Publishing Company, 2009

Synopsis

This text is an introduction to functional analysis which requires readers to have a minimal background in linear algebra and real analysis at the first-year graduate level. Prerequisite knowledge of general topology or Lebesgue integration is not required. The book explains the principles and applications of functional analysis and explores the development of the basic properties of normed linear, inner product spaces and continuous linear operators defined in these spaces. Though Lebesgue integral is not discussed, the book offers an in-depth knowledge on the numerous applications of the abstract results of functional analysis in differential and integral equations, Banach limits, harmonic analysis, summability and numerical integration. Also covered in the book are versions of the spectral theorem for compact, symmetric operators and continuous, self adjoint operators.

"synopsis" may belong to another edition of this title.

From the Back Cover

This text is an introduction to functional analysis which requires readers to have a minimal background in linear algebra and real analysis at the first-year graduate level. Prerequisite knowledge of general topology or Lebesgue integration is not required. The book explains the principles and applications of functional analysis and explores the development of the basic properties of normed linear, inner product spaces and continuous linear operators defined in these spaces. Though Lebesgue integral is not discussed, the book offers an in-depth knowledge on the numerous applications of the abstract results of functional analysis in differential and integral equations, Banach limits, harmonic analysis, summability and numerical integration. Also covered in the book are versions of the spectral theorem for compact, symmetric operators and continuous, self adjoint operators.

"About this title" may belong to another edition of this title.

Publisher
World Scientific Publishing Company
Publication date
2009
Language
English
ISBN 10 
9814273341
ISBN 13 
9789814273343
Binding
Hardcover
Number of pages
192