Author: Bruce A. Barnes
Publisher: Pitman Publishing
ISBN:
Category : Mathematics
Languages : en
Pages : 144
Book Description
Riesz and Fredholm Theory in Banach Algebras
Author: Bruce A. Barnes
Publisher: Pitman Publishing
ISBN:
Category : Mathematics
Languages : en
Pages : 144
Book Description
Publisher: Pitman Publishing
ISBN:
Category : Mathematics
Languages : en
Pages : 144
Book Description
Riesz and Fredholm Theory in Banach Algebras
Author: B. A. Barnes
Publisher: Halsted Press
ISBN: 9780470204146
Category :
Languages : en
Pages : 132
Book Description
Publisher: Halsted Press
ISBN: 9780470204146
Category :
Languages : en
Pages : 132
Book Description
Fredholm and Local Spectral Theory, with Applications to Multipliers
Author: Pietro Aiena
Publisher: Springer Science & Business Media
ISBN: 1402025254
Category : Mathematics
Languages : en
Pages : 452
Book Description
A signi?cant sector of the development of spectral theory outside the classical area of Hilbert space may be found amongst at multipliers de?ned on a complex commutative Banach algebra A. Although the general theory of multipliers for abstract Banach algebras has been widely investigated by several authors, it is surprising how rarely various aspects of the spectral theory, for instance Fredholm theory and Riesz theory, of these important classes of operators have been studied. This scarce consideration is even more surprising when one observes that the various aspects of spectral t- ory mentioned above are quite similar to those of a normal operator de?ned on a complex Hilbert space. In the last ten years the knowledge of the spectral properties of multip- ers of Banach algebras has increased considerably, thanks to the researches undertaken by many people working in local spectral theory and Fredholm theory. This research activity recently culminated with the publication of the book of Laursen and Neumann [214], which collects almost every thing that is known about the spectral theory of multipliers.
Publisher: Springer Science & Business Media
ISBN: 1402025254
Category : Mathematics
Languages : en
Pages : 452
Book Description
A signi?cant sector of the development of spectral theory outside the classical area of Hilbert space may be found amongst at multipliers de?ned on a complex commutative Banach algebra A. Although the general theory of multipliers for abstract Banach algebras has been widely investigated by several authors, it is surprising how rarely various aspects of the spectral theory, for instance Fredholm theory and Riesz theory, of these important classes of operators have been studied. This scarce consideration is even more surprising when one observes that the various aspects of spectral t- ory mentioned above are quite similar to those of a normal operator de?ned on a complex Hilbert space. In the last ten years the knowledge of the spectral properties of multip- ers of Banach algebras has increased considerably, thanks to the researches undertaken by many people working in local spectral theory and Fredholm theory. This research activity recently culminated with the publication of the book of Laursen and Neumann [214], which collects almost every thing that is known about the spectral theory of multipliers.
Fredholm Theory in Banach Spaces
Author: Anthony Francis Ruston
Publisher: Cambridge University Press
ISBN: 9780521604932
Category : Mathematics
Languages : en
Pages : 314
Book Description
Presents analogues for operators on Banach spaces of Fredholm's solution of integral equations of the second kind.
Publisher: Cambridge University Press
ISBN: 9780521604932
Category : Mathematics
Languages : en
Pages : 314
Book Description
Presents analogues for operators on Banach spaces of Fredholm's solution of integral equations of the second kind.
Calkin Algebras and Algebras of Operators on Banach SPates
Author: Caradus
Publisher: Routledge
ISBN: 1351462776
Category : Mathematics
Languages : en
Pages : 160
Book Description
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.
Publisher: Routledge
ISBN: 1351462776
Category : Mathematics
Languages : en
Pages : 160
Book Description
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.
Banach Algebra Techniques in Operator Theory
Author: Ronald G. Douglas
Publisher: Springer Science & Business Media
ISBN: 1461216567
Category : Mathematics
Languages : en
Pages : 212
Book Description
A discussion of certain advanced topics in operator theory, providing the necessary background while assuming only standard senior-first year graduate courses in general topology, measure theory, and algebra. Each chapter ends with source notes which suggest additional reading along with comments on who proved what and when, followed by a large number of problems of varying difficulty. This new edition will appeal to a whole new generation of students seeking an introduction to this topic.
Publisher: Springer Science & Business Media
ISBN: 1461216567
Category : Mathematics
Languages : en
Pages : 212
Book Description
A discussion of certain advanced topics in operator theory, providing the necessary background while assuming only standard senior-first year graduate courses in general topology, measure theory, and algebra. Each chapter ends with source notes which suggest additional reading along with comments on who proved what and when, followed by a large number of problems of varying difficulty. This new edition will appeal to a whole new generation of students seeking an introduction to this topic.
Spectral Theory of Linear Operators and Spectral Systems in Banach Algebras
Author: Vladimir Müller
Publisher: Birkhäuser
ISBN: 3034877889
Category : Mathematics
Languages : en
Pages : 390
Book Description
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.
Publisher: Birkhäuser
ISBN: 3034877889
Category : Mathematics
Languages : en
Pages : 390
Book Description
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.
Banach Algebras and the General Theory of *-Algebras: Volume 2, *-Algebras
Author: Theodore W. Palmer
Publisher: Cambridge University Press
ISBN: 9780521366380
Category : Mathematics
Languages : en
Pages : 846
Book Description
This second of two volumes gives a modern exposition of the theory of Banach algebras.
Publisher: Cambridge University Press
ISBN: 9780521366380
Category : Mathematics
Languages : en
Pages : 846
Book Description
This second of two volumes gives a modern exposition of the theory of Banach algebras.
Fredholm Theory in Paraalgebras
Author: Martin Krause
Publisher: Tectum Verlag DE
ISBN: 9783896089380
Category : Banach algebras
Languages : en
Pages : 92
Book Description
Publisher: Tectum Verlag DE
ISBN: 9783896089380
Category : Banach algebras
Languages : en
Pages : 92
Book Description
Fredholm and Local Spectral Theory II
Author: Pietro Aiena
Publisher: Springer
ISBN: 3030022668
Category : Mathematics
Languages : en
Pages : 546
Book Description
This monograph concerns the relationship between the local spectral theory and Fredholm theory of bounded linear operators acting on Banach spaces. The purpose of this book is to provide a first general treatment of the theory of operators for which Weyl-type or Browder-type theorems hold. The product of intensive research carried out over the last ten years, this book explores for the first time in a monograph form, results that were only previously available in journal papers. Written in a simple style, with sections and chapters following an easy, natural flow, it will be an invaluable resource for researchers in Operator Theory and Functional Analysis. The reader is assumed to be familiar with the basic notions of linear algebra, functional analysis and complex analysis.
Publisher: Springer
ISBN: 3030022668
Category : Mathematics
Languages : en
Pages : 546
Book Description
This monograph concerns the relationship between the local spectral theory and Fredholm theory of bounded linear operators acting on Banach spaces. The purpose of this book is to provide a first general treatment of the theory of operators for which Weyl-type or Browder-type theorems hold. The product of intensive research carried out over the last ten years, this book explores for the first time in a monograph form, results that were only previously available in journal papers. Written in a simple style, with sections and chapters following an easy, natural flow, it will be an invaluable resource for researchers in Operator Theory and Functional Analysis. The reader is assumed to be familiar with the basic notions of linear algebra, functional analysis and complex analysis.