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Non-Commutative Gelfand Theories: A Tool-Kit for Operator Theorists and Numerical Analysts (Universitext)

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Non-Commutative Gelfand Theories: A Tool-Kit for Operator Theorists and Numerical Analysts (Universitext) Cover

 

Synopses & Reviews

Publisher Comments:

<p>Written as a hybrid between a research monograph and a textbook the first half of this book is concerned with basic concepts for the study of Banach algebras that, in a sense, are not too far from being commutative. Essentially, the algebra under consideration either has a sufficiently large center or is subject to a higher order commutator property (an algebra with a so-called polynomial identity or in short: Pl-algebra). In the second half of the book, a number of selected examples are used to demonstrate how this theory can be successfully applied to problems in operator theory and numerical analysis.</p> <p>Distinguished by the consequent use of local principles (non-commutative Gelfand theories), PI-algebras, Mellin techniques and limit operator techniques, each one of the applications presented in chapters 4, 5 and 6 forms a theory that is up to modern standards and interesting in its own right.</p> <p>Written in a way that can be worked through by the reader with fundamental knowledge of analysis, functional analysis and algebra, this book will be accessible to 4th year students of mathematics or physics whilst also being of interest to researchers in the areas of operator theory, numerical analysis, and the general theory of Banach algebras.</p>

Synopsis:

This book offers basic concepts for the study of Banach algebras that, in a sense, are not far from being commutative. Includes selected examples to demonstrate how this theory can be successfully applied to problems in operator theory and numerical analysis.

Synopsis:

Written as a hybrid between a research monograph and a textbook the first half of this book is concerned with basic concepts for the study of Banach algebras that, in a sense, are not too far from being commutative. Essentially, the algebra under consideration either has a sufficiently large center or is subject to a higher order commutator property (an algebra with a so-called polynomial identity or in short: Pl-algebra). In the second half of the book, a number of selected examples are used to demonstrate how this theory can be successfully applied to problems in operator theory and numerical analysis. Distinguished by the consequent use of local principles (non-commutative Gelfand theories), PI-algebras, Mellin techniques and limit operator techniques, each one of the applications presented in chapters 4, 5 and 6 forms a theory that is up to modern standards and interesting in its own right. Written in a way that can be worked through by the reader with fundamental knowledge of analysis, functional analysis and algebra, this book will be accessible to 4th year students of mathematics or physics whilst also being of interest to researchers in the areas of operator theory, numerical analysis, and the general theory of Banach algebras.

Table of Contents

Banach algebras.- Local principles.- Banach algebras generated by idempotents.- Singular integral operators.- Convolution operators.- Algebras of operator sequences.

Product Details

ISBN:
9780857291820
Author:
Roch, Steffen
Publisher:
Springer
Author:
Silbermann, Bernd
Author:
Santos
Author:
a, Pedro
Author:
Santos, Pedro A.
Subject:
Functional Analysis
Subject:
Algebras generated by projections
Subject:
Banach algebras
Subject:
fredholm property
Subject:
Local principles
Subject:
Non-commutative Gelfand theories
Subject:
Numerical analysis
Subject:
PI-algebras
Subject:
Singular integral operators
Subject:
Stability
Subject:
Wiener-Hopf operators.
Subject:
Integral equations
Subject:
Operator theory
Subject:
Fourier analysis
Subject:
Mathematics : Functional Analysis
Subject:
Local
Subject:
Principles
Copyright:
Edition Description:
2011
Series:
Universitext
Publication Date:
20101203
Binding:
TRADE PAPER
Language:
English
Pages:
397
Dimensions:
235 x 155 mm 1230 gr

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Non-Commutative Gelfand Theories: A Tool-Kit for Operator Theorists and Numerical Analysts (Universitext) New Trade Paper
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Product details 397 pages Springer - English 9780857291820 Reviews:
"Synopsis" by , This book offers basic concepts for the study of Banach algebras that, in a sense, are not far from being commutative. Includes selected examples to demonstrate how this theory can be successfully applied to problems in operator theory and numerical analysis.
"Synopsis" by , Written as a hybrid between a research monograph and a textbook the first half of this book is concerned with basic concepts for the study of Banach algebras that, in a sense, are not too far from being commutative. Essentially, the algebra under consideration either has a sufficiently large center or is subject to a higher order commutator property (an algebra with a so-called polynomial identity or in short: Pl-algebra). In the second half of the book, a number of selected examples are used to demonstrate how this theory can be successfully applied to problems in operator theory and numerical analysis. Distinguished by the consequent use of local principles (non-commutative Gelfand theories), PI-algebras, Mellin techniques and limit operator techniques, each one of the applications presented in chapters 4, 5 and 6 forms a theory that is up to modern standards and interesting in its own right. Written in a way that can be worked through by the reader with fundamental knowledge of analysis, functional analysis and algebra, this book will be accessible to 4th year students of mathematics or physics whilst also being of interest to researchers in the areas of operator theory, numerical analysis, and the general theory of Banach algebras.
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