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A Course in Abstract Analysis

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A Course in Abstract Analysis - Conway, John B.
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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 ...

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A Course in Abstract Analysis 2012, American Mathematical Society, Providence

ISBN-13: 9780821890837

Hardcover