Basic Methods of Linear Functional Analysis

John D Pryce

ISBN 10: 0486483843 / ISBN 13: 9780486483849

Published by Dover Publications Okt 2011, 2011

About this Item

Neuware - Introduction to the themes of mathematical analysis, geared toward advanced undergraduate and graduate students. Topics include operators, function spaces, Hilbert spaces, and elementary Fourier analysis. Numerous exercises and worked examples.1973 edition. Seller Inventory # 9780486483849

Bibliographic Details

Title: Basic Methods of Linear Functional Analysis

Publisher: Dover Publications Okt 2011

Publication Date: 2011

Binding: Taschenbuch

Condition: Neu

About this title

Synopsis:

An introduction to the themes of mathematical analysis, this text is geared toward advanced undergraduate and graduate students. It assumes a familiarity with basic real analysis, metric space theory, linear algebra, and minimal knowledge of measures and Lebesgue integration, all of which are surveyed in the first chapter.
Subsequent chapters explore the basic results of linear functional analysis: Stone-Weierstrass, Hahn-Banach, uniform boundedness and open mapping theorems, dual spaces, and basic properties of operators. Additional topics include function spaces, the Tychonov and Alaoglu theorems, Hilbert spaces, elementary Fourier analysis, and compact self-adjoint operators applied to Sturm-Liouville theory. "The author has a delightfully lively style which makes the book very readable," noted the Edinburgh Mathematical Society, "and there are numerous interesting and instructive problems."

About the Author:

John D. Pryce is a Mathematics Professor at England's Cranfield University.