ENGLISH

A Course in Abstract Analysis

By John B. Conway

Book information

Publisher
American Mathematical Society
Year
2012
ISBN
0821890832, 9780821890837
Language
english
Format
DJVU
Filesize
4 MB (4160996 bytes)
Series
Graduate Studies in Mathematics
Pages
385\385
DPI
600
Orientation
no
Scanned
yes
Time added
2014-10-05 02:30:00

Description

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.

Similar books