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Titlebook: Non-commutative Gelfand Theories; A Tool-kit for Opera Steffen Roch,Pedro A. Santos,Bernd Silbermann Book 2011 Springer-Verlag London Limit

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发表于 2025-3-21 19:45:24 | 显示全部楼层 |阅读模式
书目名称Non-commutative Gelfand Theories
副标题A Tool-kit for Opera
编辑Steffen Roch,Pedro A. Santos,Bernd Silbermann
视频videohttp://file.papertrans.cn/668/667079/667079.mp4
概述Provides an overview of the theoretical developments of the last thirty years in addition to a number of concrete applications in operator theory and numerical analysis.Focuses on non-C*-algebras.Cont
丛书名称Universitext
图书封面Titlebook: Non-commutative Gelfand Theories; A Tool-kit for Opera Steffen Roch,Pedro A. Santos,Bernd Silbermann Book 2011 Springer-Verlag London Limit
描述.

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.

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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.

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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 operat

出版日期Book 2011
关键词Algebras generated by projections; Algebras generated by projections; Banach algebras; Banach algebras;
版次1
doihttps://doi.org/10.1007/978-0-85729-183-7
isbn_softcover978-0-85729-182-0
isbn_ebook978-0-85729-183-7Series ISSN 0172-5939 Series E-ISSN 2191-6675
issn_series 0172-5939
copyrightSpringer-Verlag London Limited 2011
The information of publication is updating

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发表于 2025-3-21 21:57:23 | 显示全部楼层
Book 2011 in its own right.

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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 operat
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发表于 2025-3-22 01:20:27 | 显示全部楼层
Book 2011ch 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
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Banach algebraso refer to the literature for the proofs of some results which are mentioned only as an aside. This concerns in particular some results on ..-algebras, which form certainly the most important subclass of Banach algebras, but which will not play a distinguished role in this text.
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Local principlesiple will allow us to study invertibility properties of an element of an algebra by studying the invertibility properties of a (possibly large) family of (hopefully) simpler objects. These simpler objects will usually occur as homomorphic images of the given element. To make this more precise, consi
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