Locally Compact Semi Algebras

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Locally Compact Semi Algebras

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Author :
language : en
Publisher: Elsevier
Release Date : 2011-08-26

Locally Compact Semi Algebras written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-26 with Mathematics categories.

Locally Compact Semi-Algebras

Locally Compact Semi Algebras

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Author : M. A. Kaashoek
language : en
Publisher:
Release Date : 1974

Locally Compact Semi Algebras written by M. A. Kaashoek and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Banach algebras categories.

Locally Compact Semi Algebras With Applications To Spectral Theory Of Positive Operations

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Author : Marinus A. KAASHOEK
language : en
Publisher:
Release Date : 1974

Locally Compact Semi Algebras With Applications To Spectral Theory Of Positive Operations written by Marinus A. KAASHOEK and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with categories.

A Note On Strict Locally Compact Semi Algebras

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Author : Marinus Adriaan Kaashoek
language : en
Publisher:
Release Date : 1970

A Note On Strict Locally Compact Semi Algebras written by Marinus Adriaan Kaashoek and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with categories.

Kac Algebras And Duality Of Locally Compact Groups

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Author : Michel Enock
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Kac Algebras And Duality Of Locally Compact Groups written by Michel Enock and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.

This book deals with the theory of Kac algebras and their dual ity, elaborated independently by M. Enock and J . -M. Schwartz, and by G. !. Kac and L. !. Vajnermann in the seventies. The sub ject has now reached a state of maturity which fully justifies the publication of this book. Also, in recent times, the topic of "quantum groups" has become very fashionable and attracted the attention of more and more mathematicians and theoret ical physicists. One is still missing a good characterization of quantum groups among Hopf algebras, similar to the character ization of Lie groups among locally compact groups. It is thus extremely valuable to develop the general theory, as this book does, with emphasis on the analytical aspects of the subject instead of the purely algebraic ones. The original motivation of M. Enock and J. -M. Schwartz can be formulated as follows: while in the Pontrjagin duality theory of locally compact abelian groups a perfect symmetry exists between a group and its dual, this is no longer true in the various duality theorems of T. Tannaka, M. G. Krein, W. F. Stinespring . . . dealing with non abelian locally compact groups. The aim is then, in the line proposed by G. !. Kac in 1961 and M. Takesaki in 1972, to find a good category of Hopf algebras, containing the category of locally compact groups and fulfilling a perfect duality.

Lie Algebras And Locally Compact Groups

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Author : Irving Kaplansky
language : en
Publisher: University of Chicago Press
Release Date : 1971

Lie Algebras And Locally Compact Groups written by Irving Kaplansky and has been published by University of Chicago Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Mathematics categories.

This volume presents lecture notes based on the author's courses on Lie algebras and the solution of Hilbert's fifth problem. In chapter 1, "Lie Algebras," the structure theory of semi-simple Lie algebras in characteristic zero is presented, following the ideas of Killing and Cartan. Chapter 2, "The Structure of Locally Compact Groups," deals with the solution of Hilbert's fifth problem given by Gleason, Montgomery, and Zipplin in 1952.

Multipliers On Locally Compact Groups

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Author : K. R. Parthasarathy
language : en
Publisher: Springer
Release Date : 2006-11-14

Multipliers On Locally Compact Groups written by K. R. Parthasarathy and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.

The Lie Theory Of Connected Pro Lie Groups

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Author : Karl Heinrich Hofmann
language : en
Publisher: European Mathematical Society
Release Date : 2007

The Lie Theory Of Connected Pro Lie Groups written by Karl Heinrich Hofmann and has been published by European Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.

Lie groups were introduced in 1870 by the Norwegian mathematician Sophus Lie. A century later Jean Dieudonne quipped that Lie groups had moved to the center of mathematics and that one cannot undertake anything without them. If a complete topological group $G$ can be approximated by Lie groups in the sense that every identity neighborhood $U$ of $G$ contains a normal subgroup $N$ such that $G/N$ is a Lie group, then it is called a pro-Lie group. Every locally compact connected topological group and every compact group is a pro-Lie group. While the class of locally compact groups is not closed under the formation of arbitrary products, the class of pro-Lie groups is. For half a century, locally compact pro-Lie groups have drifted through the literature, yet this is the first book which systematically treats the Lie and structure theory of pro-Lie groups irrespective of local compactness. This study fits very well into the current trend which addresses infinite-dimensional Lie groups. The results of this text are based on a theory of pro-Lie algebras which parallels the structure theory of finite-dimensional real Lie algebras to an astonishing degree, even though it has had to overcome greater technical obstacles. This book exposes a Lie theory of connected pro-Lie groups (and hence of connected locally compact groups) and illuminates the manifold ways in which their structure theory reduces to that of compact groups on the one hand and of finite-dimensional Lie groups on the other. It is a continuation of the authors' fundamental monograph on the structure of compact groups (1998, 2006) and is an invaluable tool for researchers in topological groups, Lie theory, harmonic analysis, and representation theory. It is written to be accessible to advanced graduate students wishing to study this fascinating and important area of current research, which has so many fruitful interactions with other fields of mathematics.

Locally Compact Transformation Groups And C Algebras

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Author : Edward G. Effros
language : en
Publisher:
Release Date : 1967

Locally Compact Transformation Groups And C Algebras written by Edward G. Effros and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Algebras, Linear categories.

The Measure Algebra Of A Locally Compact Idempotent Commutative Semi Group

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Author : Arne Peter Baartz
language : en
Publisher:
Release Date : 1964

The Measure Algebra Of A Locally Compact Idempotent Commutative Semi Group written by Arne Peter Baartz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with categories.