Access this book
Tax calculation will be finalised at checkout
Other ways to access
About this book
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.
Similar content being viewed by others
Table of contents (5 chapters)
-
Front Matter
-
Back Matter
Authors and affiliations
Accessibility information
PDF accessibility summary
This PDF is Not accessible. It is based on scanned pages and does Not support features such as screen reader compatibility or descriptions for Non-text content (e.g., images and graphs). However, it likely supports searchable and selectable text based on OCR (Optical Character Recognition). Users with accessibility needs may Not be able to use this content effectively. If you have a question or an access need, please get in touch with us via https://www.springernature.com/gp/info/accessibility
Bibliographic information
Book title: An Introduction to Banach Space Theory
Authors: Robert E. Megginson
Series title: Graduate Texts in Mathematics
DOI: https://doi.org/10.1007/978-1-4612-0603-3
Publisher: Springer New York, NY
-
eBook packages: Springer Book Archive
Copyright information: Springer Science+Business Media New York 1998
Hardcover ISBN: 978-0-387-98431-5Published: 09 October 1998
Softcover ISBN: 978-1-4612-6835-2Published: 17 October 2012
eBook ISBN: 978-1-4612-0603-3Published: 06 December 2012
Series ISSN: 0072-5285
Series E-ISSN: 2197-5612
Edition number: 1
Number of pages: XIX, 599
Topics: Analysis, Mathematical Methods in Physics, Numerical and Computational Physics, Simulation
