Banach Algebraic Bundles Induced Representations And The Generalized Mackey Analysis
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Author | : J. M.G. Fell |
Publisher | : Academic Press |
Total Pages | : 755 |
Release | : 1988-05-01 |
Genre | : Mathematics |
ISBN | : 0080874452 |
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.
Author | : James Michael Gardner Fell |
Publisher | : |
Total Pages | : 740 |
Release | : 1988 |
Genre | : |
ISBN | : |
Author | : J. M.G. Fell |
Publisher | : Academic Press |
Total Pages | : 746 |
Release | : 1988-04-11 |
Genre | : Mathematics |
ISBN | : 9780122527210 |
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.
Author | : James Michael Gardner Fell |
Publisher | : |
Total Pages | : 8 |
Release | : 1988 |
Genre | : Banach algebras |
ISBN | : |
Author | : James Michael Gardner Fell |
Publisher | : American Mathematical Soc. |
Total Pages | : 172 |
Release | : 1969 |
Genre | : Banach algebras |
ISBN | : 0821812904 |
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.
Author | : J. M. G. Fell |
Publisher | : Springer |
Total Pages | : 354 |
Release | : 2006-11-14 |
Genre | : Mathematics |
ISBN | : 3540699775 |
Author | : Theodore W. Palmer |
Publisher | : Cambridge University Press |
Total Pages | : 820 |
Release | : 1994-03-25 |
Genre | : Mathematics |
ISBN | : 9780521366373 |
This is the first volume of a two volume set that provides a modern account of basic Banach algebra theory including all known results on general Banach *-algebras. This account emphasizes the role of *-algebraic structure and explores the algebraic results that underlie the theory of Banach algebras and *-algebras. The first volume, which contains previously unpublished results, is an independent, self-contained reference on Banach algebra theory. Each topic is treated in the maximum interesting generality within the framework of some class of complex algebras rather than topological algebras. Proofs are presented in complete detail at a level accessible to graduate students. The book contains a wealth of historical comments, background material, examples, particularly in noncommutative harmonic analysis, and an extensive bibliography. Volume II is forthcoming.
Author | : Eberhard Kaniuth |
Publisher | : Cambridge University Press |
Total Pages | : 359 |
Release | : 2013 |
Genre | : Mathematics |
ISBN | : 052176226X |
A comprehensive presentation of the theories of induced representations and Mackey analysis applied to a wide variety of groups.
Author | : J. M.G. Fell |
Publisher | : Academic Press |
Total Pages | : 771 |
Release | : 1988-04-15 |
Genre | : Mathematics |
ISBN | : 0080874444 |
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.
Author | : Robert S. Doran |
Publisher | : American Mathematical Soc. |
Total Pages | : 458 |
Release | : 2008 |
Genre | : Mathematics |
ISBN | : 0821842250 |
George Mackey was an extraordinary mathematician of great power and vision. His profound contributions to representation theory, harmonic analysis, ergodic theory, and mathematical physics left a rich legacy for researchers that continues today. This book is based on lectures presented at an AMS special session held in January 2007 in New Orleans dedicated to his memory. The papers, written especially for this volume by internationally-known mathematicians and mathematical physicists, range from expository and historical surveys to original high-level research articles. The influence of Mackey's fundamental ideas is apparent throughout. The introductory article contains recollections from former students, friends, colleagues, and family as well as a biography describing his distinguished career as a mathematician at Harvard, where he held the Landon D. Clay Professorship of Mathematics.