Topics in Operator Theory

Topics in Operator Theory

Author: Joseph A. Ball

Publisher: Birkhäuser

Published: 2010-02-19

Total Pages: 600

ISBN-13: 9783034601573

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This is the first volume of a collection of original and review articles on recent advances and new directions in a multifaceted and interconnected area of mathematics and its applications. It encompasses many topics in theoretical developments in operator theory and its diverse applications in applied mathematics, physics, engineering, and other disciplines. The purpose is to bring in one volume many important original results of cutting edge research as well as authoritative review of recent achievements, challenges, and future directions in the area of operator theory and its applications.


Topics in Operator Theory

Topics in Operator Theory

Author: Joseph A. Ball

Publisher: Springer Science & Business Media

Published: 2011-02-09

Total Pages: 624

ISBN-13: 3034601581

DOWNLOAD EBOOK

This is the first volume of a collection of original and review articles on recent advances and new directions in a multifaceted and interconnected area of mathematics and its applications. It encompasses many topics in theoretical developments in operator theory and its diverse applications in applied mathematics, physics, engineering, and other disciplines. The purpose is to bring in one volume many important original results of cutting edge research as well as authoritative review of recent achievements, challenges, and future directions in the area of operator theory and its applications.


Topics in Operator Theory

Topics in Operator Theory

Author: Joseph A. Ball

Publisher: Birkhäuser

Published: 2011-11-24

Total Pages: 600

ISBN-13: 9783034601597

DOWNLOAD EBOOK

This is the first volume of a collection of original and review articles on recent advances and new directions in a multifaceted and interconnected area of mathematics and its applications. It encompasses many topics in theoretical developments in operator theory and its diverse applications in applied mathematics, physics, engineering, and other disciplines. The purpose is to bring in one volume many important original results of cutting edge research as well as authoritative review of recent achievements, challenges, and future directions in the area of operator theory and its applications.


Operator Theory, Systems Theory and Scattering Theory: Multidimensional Generalizations

Operator Theory, Systems Theory and Scattering Theory: Multidimensional Generalizations

Author: Daniel Alpay

Publisher: Springer Science & Business Media

Published: 2006-03-30

Total Pages: 323

ISBN-13: 3764373032

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This volume contains a selection of papers, from experts in the area, on multidimensional operator theory. Topics considered include the non-commutative case, function theory in the polydisk, hyponormal operators, hyperanalytic functions, and holomorphic deformations of linear differential equations. Operator Theory, Systems Theory and Scattering Theory will be of interest to a wide audience of pure and applied mathematicians, electrical engineers and theoretical physicists.


Hopf Algebras and Their Actions on Rings

Hopf Algebras and Their Actions on Rings

Author: Susan Montgomery

Publisher: American Mathematical Soc.

Published: 1993-10-28

Total Pages: 258

ISBN-13: 0821807382

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The last ten years have seen a number of significant advances in Hopf algebras. The best known is the introduction of quantum groups, which are Hopf algebras that arose in mathematical physics and now have connections to many areas of mathematics. In addition, several conjectures of Kaplansky have been solved, the most striking of which is a kind of Lagrange's theorem for Hopf algebras. Work on actions of Hopf algebras has unified earlier results on group actions, actions of Lie algebras, and graded algebras. This book brings together many of these recent developments from the viewpoint of the algebraic structure of Hopf algebras and their actions and coactions. Quantum groups are treated as an important example, rather than as an end in themselves. The two introductory chapters review definitions and basic facts; otherwise, most of the material has not previously appeared in book form. Providing an accessible introduction to Hopf algebras, this book would make an excellent graduate textbook for a course in Hopf algebras or an introduction to quantum groups.


Dimensions and $C^\ast $-Algebras

Dimensions and $C^\ast $-Algebras

Author: Edward G. Effros

Publisher: American Mathematical Soc.

Published: 1981

Total Pages: 90

ISBN-13: 0821816977

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Discusses elementary algebras and $C DEGREES*$-algebras, namely those which are direct limits of complex semi simple al