[PDF] Calkin Algebras And Algebras Of Operators On Banach Spates eBook

Author : Caradus
Publisher : Routledge
Page : 160 pages
File Size : 17,85 MB
Release : 2017-10-19
Category : Mathematics
ISBN : 1351462776

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Since the appearance of Banach algebra theory, the interaction between the theories ofBanach algebras with involution and that of bounded linear operators on a Hilbert space hasbeen extensively developed. The connections of Banach algebras with the theory ofbounded linear operators on a Hilbert space have also evolved, and Calkin Algebras andAlgebras of Operators on Banach Spaces provides an introduction to this set of ideas.The book begins with a treatment of the classical Riesz-Schauder theory which takesadvantage of the most recent developments-some of this material appears here for the firsttime. Although the reader should be familiar with the basics of functional analysis, anintroductory chapter on Banach algebras has been included. Other topics dealt with includeFredholm operators, semi-Fredholm operators, Riesz operators. and Calkin algebras.This volume will be of direct interest to both graduate students and research mathematicians.

Author : Caradus
Publisher : Routledge
Page : 162 pages
File Size : 37,74 MB
Release : 2017-10-19
Category : Mathematics
ISBN : 1351462768

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Since the appearance of Banach algebra theory, the interaction between the theories ofBanach algebras with involution and that of bounded linear operators on a Hilbert space hasbeen extensively developed. The connections of Banach algebras with the theory ofbounded linear operators on a Hilbert space have also evolved, and Calkin Algebras andAlgebras of Operators on Banach Spaces provides an introduction to this set of ideas.The book begins with a treatment of the classical Riesz-Schauder theory which takesadvantage of the most recent developments-some of this material appears here for the firsttime. Although the reader should be familiar with the basics of functional analysis, anintroductory chapter on Banach algebras has been included. Other topics dealt with includeFredholm operators, semi-Fredholm operators, Riesz operators. and Calkin algebras.This volume will be of direct interest to both graduate students and research mathematicians.

Author : H. Garth Dales
Publisher : Cambridge University Press
Page : 338 pages
File Size : 29,62 MB
Release : 2003-11-13
Category : Mathematics
ISBN : 9780521535847

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Table of contents

Author : Vladimir Müller
Publisher : Springer Science & Business Media
Page : 444 pages
File Size : 10,53 MB
Release : 2007-12-24
Category : Mathematics
ISBN : 3764382651

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This book is dedicated to the spectral theory of linear operators on Banach spaces and of elements in Banach algebras. It presents a survey of results concerning various types of spectra, both of single and n-tuples of elements. Typical examples are the one-sided spectra, the approximate point, essential, local and Taylor spectrum, and their variants. Many results appear here for the first time in a monograph.

Author : Bingren Li
Publisher : World Scientific
Page : 264 pages
File Size : 30,29 MB
Release : 2003
Category : Mathematics
ISBN : 9789812795182

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Since the treatment is from the beginning (real Banach and Hilbert spaces, real Banach algebras,

Author : Mohamed Chidami
Publisher :
Page : 180 pages
File Size : 25,75 MB
Release : 2003
Category : Banach algebras
ISBN :

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This volume contains the proceedings of the International Conference on Operator Theory and Banach Algebras. Over 70 participants from the world over attended. The book contains 14 selected refereed papers; three are written in English and the rest in French. Half are survey papers referring to different domains; the remaining papers contain original results with complete proofs. The main topics covered are the spectral theory of operators on a Banach space, classes of topological algebras with applications to physics, different classes of operators on Hilbert and Banach space, problems in Banach algebras, Lie algebras of operators, interaction between complex analysis and operator theory, and semigroups of operators. All papers have been revised to account for recent developments. Overall, they present an accurate overview of the domains considered.

Author : Fletcher
Publisher : Routledge
Page : 240 pages
File Size : 33,63 MB
Release : 2018-04-27
Category : Mathematics
ISBN : 1351420283

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Since quasi-uniform spaces were defined in 1948, a diverse and widely dispersed literatureconcerning them has emerged. In Quasi-Uniform Spaces, the authors present a comprehensivestudy of these structures, together with the theory of quasi-proximities. In additionto new results unavailable elsewhere, the volume unites fundamental materialheretofore scattered throughout the literature.Quasi-Uniform Spaces shows by example that these structures provide a natural approachto the study of point-set topology. It is the only source for many results related to completeness,and a primary source for the study of both transitive and quasi-metric spaces.Included are H. Junnila's analogue of Tamano's theorem, J. Kofner's result showing thatevery GO space is transitive, and R. Fox's example of a non-quasi-metrizable r-space. Inaddition to numerous interesting problems mentioned throughout the text , 22 formalresearch problems are featured. The book nurtures a radically different viewpoint oftopology , leading to new insights into purely topological problems.Since every topological space admits a quasi-uniformity, the study of quasi-uniformspaces can be seen as no less general than the study of topological spaces. For such study,Quasi-Uniform Spaces is a necessary, self-contained reference for both researchers andgraduate students of general topology . Information is made particularly accessible withthe inclusion of an extensive index and bibliography .