An Introduction to Banach Space Theory: 183 (Graduate Texts in Mathematics, 183) - Hardcover

Megginson, Robert E.

Hardcover

ISBN 10: 0387984313 ISBN 13: 9780387984315

Publisher: Springer, 1998

Synopsis

Many important reference works in Banach space theory have appeared since Banach's "Théorie des Opérations Linéaires", the impetus for the development of much of the modern theory in this field. While these works are classical starting points for the graduate student wishing to do research in Banach space theory, they can be formidable reading for the student who has just completed a course in measure theory and integration that introduces the L_p spaces and would like to know more about Banach spaces in general. The purpose of this book is to bridge this gap and provide an introduction to the basic theory of Banach spaces and functional analysis. It prepares students for further study of both the classical works and current research. It is accessible to students who understand the basic properties of L_p spaces but have not had a course in functional analysis. The book is sprinkled liberally with examples, historical notes, and references to original sources. Over 450 exercises provide supplementary examples and counterexamples and give students practice in the use of the results developed in the text.

About this title

Synopsis

Many important reference works in Banach space theory have appeared since Banach's "Th'eorie des Op'erations Lin'eaires", the impetus for the development of much of the modern theory in this field. While these works are classical starting points for the graduate student wishing to do research in Banach space theory, they can be formidable reading for the student who has just completed a course in measure theory and integration that introduces the L_p spaces and would like to know more about Banach spaces in general. The purpose of this book is to bridge this gap and provide an introduction to the basic theory of Banach spaces and functional analysis. It prepares students for further study of both the classical works and current research. It is accessible to students who understand the basic properties of L_p spaces but have not had a course in functional analysis. The book is sprinkled liberally with examples, historical notes, and references to original sources. Over 450 exercises provide supplementary examples and counter examples and give students practice in the use of the results developed in the text.

Edition details

• Publisher: Springer
• Publication date: 1998
• Language: English
• ISBN 10: 0387984313
• ISBN 13: 9780387984315
• Binding: Hardcover
• Number of pages: 618