A Course in Abstract Analysis

Conway, John B.

ISBN 10: 0821890832 / ISBN 13: 9780821890837

Published by Amer Mathematical Society, 2012

367 pages. 10.25x7.25x1.00 inches. In Stock. Seller Inventory # 0821890832

Synopsis:

This book covers topics appropriate for a first-year graduate course preparing students for the doctorate degree. The first half of the book presents the core of measure theory, including an introduction to the Fourier transform. This material can easily be covered in a semester. The second half of the book treats basic functional analysis and can also be covered in a semester. After the basics, it discusses linear transformations, duality, the elements of Banach algebras, and C*-algebras. It concludes with a characterization of the unitary equivalence classes of normal operators on a Hilbert space. The book is self-contained and only relies on a background in functions of a single variable and the elements of metric spaces. Following the author's belief that the best way to learn is to start with the particular and proceed to the more general, it contains numerous examples and exercises.

About the Author: John B. Conway, George Washington University, Washington, DC, USA

Bibliographic Details

Title: A Course in Abstract Analysis
Publisher: Amer Mathematical Society
Publication Date: 2012
Binding: Hardcover
Condition: Brand New