Functional Analysis (eBook)

An Introduction to Banach Space Theory

Terry J. Morrison (Autor)

eBook Download: PDF

2011 | 1. Auflage
376 Seiten
John Wiley & Sons (Verlag)
978-1-118-03124-7 (ISBN)

Infos

A powerful introduction to one of the most active areas of
theoretical and applied mathematics

This distinctive introduction to one of the most far-reaching and
beautiful areas of mathematics focuses on Banach spaces as the
milieu in which most of the fundamental concepts are presented.
While occasionally using the more general topological vector space
and locally convex space setting, it emphasizes the development of
the reader's mathematical maturity and the ability to both
understand and "do" mathematics. In so doing, Functional Analysis
provides a strong springboard for further exploration on the wide
range of topics the book presents, including:

* Weak topologies and applications

* Operators on Banach spaces

* Bases in Banach spaces

* Sequences, series, and geometry in Banach spaces

Stressing the general techniques underlying the proofs, Functional
Analysis also features many exercises for immediate clarification
of points under discussion. This thoughtful, well-organized
synthesis of the work of those mathematicians who created the
discipline of functional analysis as we know it today also provides
a rich source of research topics and reference material.

Autor

TERRY J. MORRISON, PhD, is Associate Professor in the Department of Mathematics and Computer Science at Gustavus Adolphus College, St. Peter, Minnesota.

Inhalt

Preface.

Introduction.

Basic Definitions and Examples.

Basic Principles with Applications.

Weak Topologies and Applications.

Operators on Banach Spaces.

Bases in Banach Spaces.

Sequences, Series, and a Little Geometry in Banach Spaces.

Bibliography.

Author/Name Index.

Subject Index

Symbol Index.

Rezensionen

"This textbook for a two-semester course in functional analysis
presents the basic ideas, techniques, and methods that form the
underpinnings of the discipline." (SciTech Book News, Vol. 25, No.
3, September 2001)

"...a useful book which helps the student to understand Banach
space theory." (Mathematical Reviews, 2003a)

Produkt-Details

• Erscheint lt. Verlag: 14.10.2011
• Reihe/Serie: Wiley Series in Pure and Applied Mathematics
• Reihe/Serie: Wiley Series in Pure and Applied Mathematics
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• Themenwelt: Technik
• Schlagworte: Angewandte Mathematik • Applied mathematics • Complex & Functional Analysis • Komplexe Analysis u. Funktionalanalysis • Mathematics • Mathematik
• ISBN-10: 1-118-03124-5 / 1118031245
• ISBN-13: 978-1-118-03124-7 / 9781118031247