Representations Of Ālgebras Locally Compact Groups And Banach Ālgebraic Bundles

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Representations of *-Algebras, Locally Compact Groups, and Banach *-Algebraic Bundles

Author : J. M.G. Fell,R. S. Doran
Publisher : Academic Press
Page : 752 pages
File Size : 43,9 Mb
Release : 1988-05-01
Category : Mathematics
ISBN : 0080874452

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Representations of *-Algebras, Locally Compact Groups, and Banach *-Algebraic Bundles by J. M.G. Fell,R. S. Doran Pdf

This is an all-encompassing and exhaustive exposition of the theory of infinite-dimensional Unitary Representations of Locally Compact Groups and its generalization to representations of Banach algebras. The presentation is detailed, accessible, and self-contained (except for some elementary knowledge in algebra, topology, and abstract measure theory). In the later chapters the reader is brought to the frontiers of present-day knowledge in the area of Mackey normal subgroup analysisand its generalization to the context of Banach *-Algebraic Bundles.

Representations of *-Algebras, Locally Compact Groups, and Banach *-Algebraic Bundles

Author : J. M.G. Fell,R. S. Doran
Publisher : Academic Press
Page : 771 pages
File Size : 45,8 Mb
Release : 1988-04-15
Category : Mathematics
ISBN : 9780080874449

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Representations of *-Algebras, Locally Compact Groups, and Banach *-Algebraic Bundles by J. M.G. Fell,R. S. Doran Pdf

This is an all-encompassing and exhaustive exposition of the theory of infinite-dimensional Unitary Representations of Locally Compact Groups and its generalization to representations of Banach algebras. The presentation is detailed, accessible, and self-contained (except for some elementary knowledge in algebra, topology, and abstract measure theory). In the later chapters the reader is brought to the frontiers of present-day knowledge in the area of Mackey normal subgroup analysisand its generalization to the context of Banach *-Algebraic Bundles.

Representations of *-Algebras, Locally Compact Groups, and Banach *-Algebraic Bundles

Author : J. M.G. Fell,R. S. Doran
Publisher : Academic Press
Page : 752 pages
File Size : 53,8 Mb
Release : 1988-05-12
Category : Mathematics
ISBN : 0122527224

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Representations of *-Algebras, Locally Compact Groups, and Banach *-Algebraic Bundles by J. M.G. Fell,R. S. Doran Pdf

This is an all-encompassing and exhaustive exposition of the theory of infinite-dimensional Unitary Representations of Locally Compact Groups and its generalization to representations of Banach algebras. The presentation is detailed, accessible, and self-contained (except for some elementary knowledge in algebra, topology, and abstract measure theory). In the later chapters the reader is brought to the frontiers of present-day knowledge in the area of Mackey normal subgroup analysisand its generalization to the context of Banach *-Algebraic Bundles.

Representations of *-Algebras, Locally Compact Groups, and Benach *-Algebraic Bundles, Two Volume Set

Author : J. Fell,James Michael Gardner Fell,Robert S. Doran
Publisher : Unknown
Page : 1486 pages
File Size : 41,7 Mb
Release : 1988-05-01
Category : Mathematics
ISBN : 0122527208

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Representations of *-Algebras, Locally Compact Groups, and Benach *-Algebraic Bundles, Two Volume Set by J. Fell,James Michael Gardner Fell,Robert S. Doran Pdf

Representations of *-Algebras, Locally Compact Groups, and Banach *-Algebraic Bundles

Author : J. M.G. Fell,R. S. Doran
Publisher : Academic Press
Page : 746 pages
File Size : 51,8 Mb
Release : 1988-04-11
Category : Mathematics
ISBN : 0122527216

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Representations of *-Algebras, Locally Compact Groups, and Banach *-Algebraic Bundles by J. M.G. Fell,R. S. Doran Pdf

This is an all-encompassing and exhaustive exposition of the theory of infinite-dimensional Unitary Representations of Locally Compact Groups and its generalization to representations of Banach algebras. The presentation is detailed, accessible, and self-contained (except for some elementary knowledge in algebra, topology, and abstract measure theory). In the later chapters the reader is brought to the frontiers of present-day knowledge in the area of Mackey normal subgroup analysisand its generalization to the context of Banach *-Algebraic Bundles.

An Extension of Mackey's Method to Banach *-Algebraic Bundles

Author : James Michael Gardner Fell
Publisher : American Mathematical Soc.
Page : 172 pages
File Size : 55,6 Mb
Release : 1969
Category : Banach algebras
ISBN : 9780821812907

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An Extension of Mackey's Method to Banach *-Algebraic Bundles by James Michael Gardner Fell Pdf

The main object of the present memoir is to show that the methods and results of Mackey (1958) and Blattner (1963) on the group extension representation problem go through without any essential change in the larger context of homogeneous Banach *-algebraic bundles (with enough cross sections). In order to dispense with separability we shall follow the topological methods of Blattner rather than Mackey's more detailed measure-theoretic analysis. Except for the last section, Part II of this memoir is in fact a rewriting of much of Blattner's papers (1963), making the modifications necessary in the larger context of bundles. The last Section 17 gives an account of the 'Mackey obstruction' in the nonseparable case, leading to an analogue (Theorem 17.2) of Theorem 8.2 of Mackey's paper for homogeneous Banach *-algebraic bundles, without separability restrictions. This is the culminating point of the present memoir.

Introduction to the Theory of Banach Representations of Groups

Author : Yurii I. Lyubich
Publisher : Birkhäuser
Page : 231 pages
File Size : 55,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783034891691

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Introduction to the Theory of Banach Representations of Groups by Yurii I. Lyubich Pdf

The theory of group representations plays an important roie in modern mathematics and its applica~ions to natural sciences. In the compulsory university curriculum it is included as a branch of algebra, dealing with representations of finite groups (see, for example, the textbook of A. I. Kostrikin [25]). The representation theory for compact, locally compact Abelian, and Lie groups is co vered in graduate courses, concentrated around functional analysis. The author of the present boo~ has lectured for many years on functional analysis at Khar'kov University. He subsequently con tinued these lectures in the form of a graduate course on the theory of group representations, in which special attention was devoted to a retrospective exposition of operator theory and harmo nic analysis of functions from the standpoint of representation theory. In this approach it was natural to consider not only uni tary, but also Banach representations, and not only representations of groups, but also of semigroups.

The Structure of Compact Groups

Author : Karl H. Hofmann,Sidney A. Morris
Publisher : Walter de Gruyter GmbH & Co KG
Page : 1398 pages
File Size : 52,5 Mb
Release : 2020-06-08
Category : Mathematics
ISBN : 9783110696011

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The Structure of Compact Groups by Karl H. Hofmann,Sidney A. Morris Pdf

This book is designed both as a textbook for high-level graduate courses and as a reference for researchers who need to apply the structure and representation theory of compact groups. A gentle introduction to compact groups and their representation theory is followed by self-contained courses on linear and compact Lie groups, and on locally compact abelian groups. This fourth edition was updated with the latest developments in the field.

Locally Compact Transformation Groups and C^*-Algebras

Author : Edward G. Effros,Frank Hahn,Frank John Hahn
Publisher : American Mathematical Soc.
Page : 92 pages
File Size : 43,8 Mb
Release : 1967
Category : Algebras, Linear
ISBN : 9780821812754

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Locally Compact Transformation Groups and C^*-Algebras by Edward G. Effros,Frank Hahn,Frank John Hahn Pdf

Induced Representations and Banach *-algebraic Bundles

Author : James Michael Gardner Fell,Morris W. Hirsch,Tonny Albert Springer
Publisher : Unknown
Page : 349 pages
File Size : 41,9 Mb
Release : 1977
Category : Banach algebras
ISBN : 038708147X

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Induced Representations and Banach *-algebraic Bundles by James Michael Gardner Fell,Morris W. Hirsch,Tonny Albert Springer Pdf

The Classification and Structure of C^*-Algebra Bundles

Author : Maurice J. Dupré
Publisher : American Mathematical Soc.
Page : 77 pages
File Size : 55,6 Mb
Release : 1979
Category : Mathematics
ISBN : 9780821822227

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The Classification and Structure of C^*-Algebra Bundles by Maurice J. Dupré Pdf