ENGLISH

A Course in Abstract Analysis

By John B. Conway

Book information

Publisher
American Mathematical Society
Year
2012
ISBN
0821890832, 978-0-8218-9083-7, 9780821891605, 082189160X
Language
english
Format
PDF
Filesize
2 MB (2349915 bytes)
Series
AMS Graduate studies in mathematics 141
Edition
1st
Pages
367\385
Library
kolxoz
Time added
2017-10-15 16:00:00
etc.) / mscetc.) / msc;Functional analysis / Instructional exMeasure and integration / Instructional expositiontutorial papers

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

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