Basic Methods of Linear Functional Analysis (Dover Books on Mathematics)

John D. Pryce

ISBN 10: 0486483843 / ISBN 13: 9780486483849

Published by Dover Publications Inc. 2011-12-30, 2011

About this Item

Seller Inventory # 6666-ING-9780486483849

Bibliographic Details

• Title: Basic Methods of Linear Functional Analysis (Dover Books on Mathematics)
• Publisher: Dover Publications Inc. 2011-12-30
• Publication Date: 2011
• Language: English
• ISBN 10: 0486483843
• ISBN 13: 9780486483849
• Binding: Paperback
• Condition: New

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.