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Non-commutative Gelfand Theories: A Tool-kit for Operator Theorists and Numerical Analysts - Softcover
Synopsis
Banach algebras.- Local principles.- Banach algebras generated by idempotents.- Singular integral operators.- Convolution operators.- Algebras of operator sequences.
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Review
From the reviews:
“This book consists of two parts, the first half of which can be thought of as a textbook suitable for a course on Banach algebras. ... The book is remarkably well written, and puts together in a systematic manner the material that was only available before in the form of journal publications ... . it is both accessible to graduate (and even advanced undergraduate) students and of interest to seasoned researchers working on various aspects of operator theory and numerical analysis.” (I. Spitkovsky, Mathematical Reviews, Issue 2012 e)
“The theme of this book is local principles, which are formulated in the language of Banach algebras and may be regarded as noncommutative Gelfand theories. ... The book shall be useful for students and researchers working in operator theory, functional analysis and numerical analysis.” (Mohammad Sal Moslehian, Zentralblatt MATH, Vol. 1209, 2011)
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