A Spectral Theory Of Noncommuting Operators PDF Download

Author: Rongwei Yang
Publisher: Springer Nature
ISBN: 3031516052
Category :
Languages : en
Pages : 277

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Author: John Locker
Publisher: American Mathematical Soc.
ISBN: 0821820494
Category : Mathematics
Languages : en
Pages : 266

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Book Description
Develops the spectral theory of an nth order non-self-adjoint two- point differential operator L in the complex Hilbert space L2[0,1]. The differential operator L is determined by an nth order formal differential l and by n linearly independent boundary values B1,.,Bn. Locker first lays the foundations of the spectral theory for closed linear operators and Fredholm operators in Hilbert spaces before developing the spectral theory of the differential operator L. The book is a sequel to Functional analysis and two-point differential operators, 1986. Annotation copyrighted by Book News, Inc., Portland, OR.

Author: E. Brian Davies
Publisher: Cambridge University Press
ISBN: 9780521587105
Category : Mathematics
Languages : en
Pages : 198

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Book Description
This book could be used either for self-study or as a course text, and aims to lead the reader to the more advanced literature on partial differential operators.

Author: Henry R. Dowson
Publisher:
ISBN:
Category : Banach spaces
Languages : en
Pages : 444

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Book Description
General spectral theory; Riesz operators; Hermitian operators; Prespectral operators; Well-bounded operators.

Author: K. B. Laursen
Publisher: Oxford University Press
ISBN: 9780198523819
Category : Mathematics
Languages : en
Pages : 610

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Book Description
Modern local spectral theory is built on the classical spectral theorem, a fundamental result in single-operator theory and Hilbert spaces. This book provides an in-depth introduction to the natural expansion of this fascinating topic of Banach space operator theory. It gives complete coverage of the field, including the fundamental recent work by Albrecht and Eschmeier which provides the full duality theory for Banach space operators. One of its highlights are the many characterizations of decomposable operators, and of other related, important classes of operators, including identifications of distinguished parts, and results on permanence properties of spectra with respect to several types of similarity. Written in a careful and detailed style, it contains numerous examples, many simplified proofs of classical results, extensive references, and open problems, suitable for continued research.

Author: William Arveson
Publisher: Springer Science & Business Media
ISBN: 0387215182
Category : Mathematics
Languages : en
Pages : 143

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Book Description
This book presents the basic tools of modern analysis within the context of the fundamental problem of operator theory: to calculate spectra of specific operators on infinite dimensional spaces, especially operators on Hilbert spaces. The tools are diverse, and they provide the basis for more refined methods that allow one to approach problems that go well beyond the computation of spectra: the mathematical foundations of quantum physics, noncommutative K-theory, and the classification of simple C*-algebras being three areas of current research activity which require mastery of the material presented here.

Author: Abram Iezekiilovich Plesner
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 256

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Book Description

Author: David Edmunds
Publisher: Oxford University Press
ISBN: 0192540106
Category : Mathematics
Languages : en
Pages :

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Book Description
This book is an updated version of the classic 1987 monograph "Spectral Theory and Differential Operators".The original book was a cutting edge account of the theory of bounded and closed linear operators in Banach and Hilbert spaces relevant to spectral problems involving differential equations. It is accessible to a graduate student as well as meeting the needs of seasoned researchers in mathematics and mathematical physics. This revised edition corrects various errors, and adds extensive notes to the end of each chapter which describe the considerable progress that has been made on the topic in the last 30 years.

Author: Brian R. Jefferies
Publisher:
ISBN: 9783662172308
Category :
Languages : en
Pages : 196

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Book Description

Author: Toka Diagana
Publisher: Springer
ISBN: 331927323X
Category : Mathematics
Languages : en
Pages : 163

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Book Description
This book focuses on the theory of linear operators on non-Archimedean Banach spaces. The topics treated in this book range from a basic introduction to non-Archimedean valued fields, free non-Archimedean Banach spaces, bounded and unbounded linear operators in the non-Archimedean setting, to the spectral theory for some classes of linear operators. The theory of Fredholm operators is emphasized and used as an important tool in the study of the spectral theory of non-Archimedean operators. Explicit descriptions of the spectra of some operators are worked out. Moreover, detailed background materials on non-Archimedean valued fields and free non-Archimedean Banach spaces are included for completeness and for reference. The readership of the book is aimed toward graduate and postgraduate students, mathematicians, and non-mathematicians such as physicists and engineers who are interested in non-Archimedean functional analysis. Further, it can be used as an introduction to the study of non-Archimedean operator theory in general and to the study of spectral theory in other special cases.