M Ideals In Banach Spaces And Banach Algebras PDF Download
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Author | : Peter Harmand |
Publisher | : Springer |
Total Pages | : 390 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 3540477535 |
Download M-Ideals in Banach Spaces and Banach Algebras Book in PDF, ePub and Kindle
This book provides a comprehensive exposition of M-ideal theory, a branch ofgeometric functional analysis which deals with certain subspaces of Banach spaces arising naturally in many contexts. Starting from the basic definitions the authors discuss a number of examples of M-ideals (e.g. the closed two-sided ideals of C*-algebras) and develop their general theory. Besides, applications to problems from a variety of areas including approximation theory, harmonic analysis, C*-algebra theory and Banach space geometry are presented. The book is mainly intended as a reference volume for researchers working in one of these fields, but it also addresses students at the graduate or postgraduate level. Each of its six chapters is accompanied by a Notes-and-Remarks section which explores further ramifications of the subject and gives detailed references to the literature. An extensive bibliography is included.
Author | : Peter Harmand |
Publisher | : |
Total Pages | : 404 |
Release | : 2014-01-15 |
Genre | : |
ISBN | : 9783662165638 |
Download M-Ideals in Banach Spaces and Banach Algebras Book in PDF, ePub and Kindle
Author | : Graham R. Allan |
Publisher | : Oxford University Press |
Total Pages | : 380 |
Release | : 2011 |
Genre | : Mathematics |
ISBN | : 0199206538 |
Download Introduction to Banach Spaces and Algebras Book in PDF, ePub and Kindle
A timely graduate level text in an active field covering functional analysis, with an emphasis on Banach algebras.
Author | : P. Harmand |
Publisher | : |
Total Pages | : 387 |
Release | : 1993 |
Genre | : |
ISBN | : |
Download M-ideals in banach spaces and banach algebras Book in PDF, ePub and Kindle
Author | : David P. Blecher |
Publisher | : American Mathematical Soc. |
Total Pages | : 102 |
Release | : 2006 |
Genre | : Mathematics |
ISBN | : 0821838237 |
Download The Calculus of One-Sided $M$-Ideals and Multipliers in Operator Spaces Book in PDF, ePub and Kindle
The theory of one-sided $M$-ideals and multipliers of operator spaces is simultaneously a generalization of classical $M$-ideals, ideals in operator algebras, and aspects of the theory of Hilbert $C*$-modules and their maps. Here we give a systematic exposition of this theory. The main part of this memoir consists of a 'calculus' for one-sided $M$-ideals and multipliers, i.e. a collection of the properties of one-sided $M$-ideals and multipliers with respect to the basic constructions met in functional analysis. This is intended to be a reference tool for 'noncommutative functional analysts' who may encounter a one-sided $M$-ideal or multiplier in their work.
Author | : Gilles Godefroy |
Publisher | : American Mathematical Society |
Total Pages | : 358 |
Release | : 2024-03-27 |
Genre | : Mathematics |
ISBN | : 1470475707 |
Download Geometry of Banach Spaces and Related Fields Book in PDF, ePub and Kindle
This book provides a comprehensive presentation of recent approaches to and results about properties of various classes of functional spaces, such as Banach spaces, uniformly convex spaces, function spaces, and Banach algebras. Each of the 12 articles in this book gives a broad overview of current subjects and presents open problems. Each article includes an extensive bibliography. This book is dedicated to Professor Per. H. Enflo, who made significant contributions to functional analysis and operator theory.
Author | : N. Krupnik |
Publisher | : Birkhäuser |
Total Pages | : 212 |
Release | : 2013-11-22 |
Genre | : Science |
ISBN | : 3034854633 |
Download Banach Algebras with Symbol and Singular Integral Operators Book in PDF, ePub and Kindle
About fifty years aga S. G. Mikhlin, in solving the regularization problem for two-dimensional singular integral operators [56], assigned to each such operator a func tion which he called a symbol, and showed that regularization is possible if the infimum of the modulus of the symbol is positive. Later, the notion of a symbol was extended to multidimensional singular integral operators (of arbitrary dimension) [57, 58, 21, 22]. Subsequently, the synthesis of singular integral, and differential operators [2, 8, 9]led to the theory of pseudodifferential operators [17, 35] (see also [35(1)-35(17)]*), which are naturally characterized by their symbols. An important role in the construction of symbols for many classes of operators was played by Gelfand's theory of maximal ideals of Banach algebras [201. Using this the ory, criteria were obtained for Fredholmness of one-dimensional singular integral operators with continuous coefficients [34 (42)], Wiener-Hopf operators [37], and multidimensional singular integral operators [38 (2)]. The investigation of systems of equations involving such operators has led to the notion of matrix symbol [59, 12 (14), 39, 41]. This notion plays an essential role not only for systems, but also for singular integral operators with piecewise-continuous (scalar) coefficients [44 (4)]. At the same time, attempts to introduce a (scalar or matrix) symbol for other algebras have failed.
Author | : Harold G. Dales |
Publisher | : American Mathematical Soc. |
Total Pages | : 178 |
Release | : 2010 |
Genre | : Mathematics |
ISBN | : 0821847759 |
Download Banach Algebras on Semigroups and on Their Compactifications Book in PDF, ePub and Kindle
"Volume 205, number 966 (end of volume)."
Author | : J.M. Bachar |
Publisher | : Springer |
Total Pages | : 477 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 3540394540 |
Download Radical Banach Algebras and Automatic Continuity Book in PDF, ePub and Kindle
Author | : Charles Earl Rickart |
Publisher | : Krieger Publishing Company |
Total Pages | : 416 |
Release | : 1974 |
Genre | : Mathematics |
ISBN | : |
Download General Theory of Banach Algebras Book in PDF, ePub and Kindle