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A Short Course on Spectral Theory

Author: William Arveson

Publisher: Springer Science & Business Media

ISBN:

Category: Mathematics

Page: 142

View: 423

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.

Concrete Operators, Spectral Theory, Operators in Harmonic Analysis and Approximation

22nd International Workshop in Operator Theory and its Applications, Sevilla, July 2011

Author: Manuel Cepedello Boiso

Publisher: Springer Science & Business Media

ISBN:

Category: Mathematics

Page: 535

View: 600

This book contains a collection of research articles and surveys on recent developments on operator theory as well as its applications covered in the IWOTA 2011 conference held at Sevilla University in the summer of 2011. The topics include spectral theory, differential operators, integral operators, composition operators, Toeplitz operators, and more. The book also presents a large number of techniques in operator theory.

A Short Course on Operator Semigroups

Author: Klaus-Jochen Engel

Publisher: Springer Science & Business Media

ISBN:

Category: Mathematics

Page: 247

View: 859

The book offers a direct and up-to-date introduction to the theory of one-parameter semigroups of linear operators on Banach spaces. The book is intended for students and researchers who want to become acquainted with the concept of semigroups.

Studia Universitatis Babeș-Bolyai

Mathematică

Author:

Publisher:

ISBN:

Category: Mathematics

Page:

View: 688

Zeitschrift für analysis und ihre anwendungen

Author:

Publisher:

ISBN:

Category: Mathematical analysis

Page:

View: 574

Newsletter

Author: New Zealand Mathematical Society

Publisher:

ISBN:

Category: Mathematics

Page:

View: 210

Bulletin of the Belgian Mathematical Society, Simon Stevin

Author:

Publisher:

ISBN:

Category: Mathematics

Page:

View: 717

Asymptotic Lifts of UCP Semigroups

Author: Dennis Joseph Courtney

Publisher:

ISBN:

Category:

Page: 118

View: 432

Functional Analysis

Author: Peter D. Lax

Publisher: John Wiley & Sons

ISBN:

Category: Mathematics

Page: 608

View: 546

Includes sections on the spectral resolution and spectralrepresentation of self adjoint operators, invariant subspaces,strongly continuous one-parameter semigroups, the index ofoperators, the trace formula of Lidskii, the Fredholm determinant,and more. * Assumes prior knowledge of Naive set theory, linear algebra,point set topology, basic complex variable, and realvariables. * Includes an appendix on the Riesz representation theorem.

Real and Functional Analysis

Author: Serge Lang

Publisher: Springer Science & Business Media

ISBN:

Category: Mathematics

Page: 580

View: 898

This book is meant as a text for a first-year graduate course in analysis. In a sense, it covers the same topics as elementary calculus but treats them in a manner suitable for people who will be using it in further mathematical investigations. The organization avoids long chains of logical interdependence, so that chapters are mostly independent. This allows a course to omit material from some chapters without compromising the exposition of material from later chapters.

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