Representations of *-Algebras, Locally Compact Groups, and Banach *-Algebraic Bundles: Banach *-Algebraic Bundles, Induced Representations, and the Generalized Mackey Analysis: 2 - Rilegato

Fell, J. M. G.; Doran, Robert S.

 
9780122527227: Representations of *-Algebras, Locally Compact Groups, and Banach *-Algebraic Bundles: Banach *-Algebraic Bundles, Induced Representations, and the Generalized Mackey Analysis: 2

Sinossi

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.

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Recensione

The authors have succeeded admirably, and these two volumes are a pleasure to read as well as being a valuable reference.
[It] contains a valuable explanation of the relationship between representation theory and physics which every mathematician should be made aware of.
--MATHEMATICAL REVIEWS
There are many helpful remarks and asides throughout the text as well as extensive exercises and historical discussions at the end of each chapter. These two volumes are a valuable addition to anyone's library as well as a pleasurable avenue to representation theory.
--MATHEMATICAL REVIEW
The work is a most authoritative account of representation theory and Mackey's theory; it will no doubt become the standard work of references in thefield for years to come.
--MONATSHEFTE FUR MATHEMATIK
These volumes have been prepared with great care. The exposition is clear and thorough.
--AMERICAN MATHEMATICAL MONTHLY

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Altre edizioni note dello stesso titolo

9780123994561: Representations of *-Algebras, Locally Compact Groups, and Banach *-Algebraic Bundles: Volume 2 Banach *-Algebraic Bundles, Induced Representations, and the Generalized Mackey Analysis

Edizione in evidenza

ISBN 10:  012399456X ISBN 13:  9780123994561
Casa editrice: Academic Press, 2011
Brossura