The Direct Integral Theory of Weights, and the Plancherel Formula PDF Download
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Author: Colin Eric Sutherland
Publisher:
ISBN:
Category : Von Neumann algebras
Languages : en
Pages : 264
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Book Description
Author: Colin Eric Sutherland
Publisher:
ISBN:
Category : Von Neumann algebras
Languages : en
Pages : 264
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Book Description
Author: Masamichi Takesaki
Publisher: Springer Science & Business Media
ISBN: 9783540429142
Category : Mathematics
Languages : en
Pages : 552
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Book Description
Together with Theory of Operator Algebras I and III, this book presents the theory of von Neumann algebras and non-commutative integration focusing on the group of automorphisms and the structure analysis. From the reviews: "These books can be warmly recommended to every graduate student who wants to become acquainted with this exciting branch of mathematics. Furthermore, they should be on the bookshelf of every researcher of the area." --ACTA SCIENTIARUM MATHEMATICARUM
Author: Masamichi Takesaki
Publisher: Springer Science & Business Media
ISBN: 9783540429135
Category : Mathematics
Languages : en
Pages : 580
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Book Description
From the reviews: "These three bulky volumes [EMS 124, 125, 127] [...] provide an introduction to this rapidly developing theory. [...] These books can be warmly recommended to every graduate student who wants to become acquainted with this exciting branch of mathematics. Furthermore, they should be on the bookshelf of every researcher of the area." Acta Scientiarum Mathematicarum
Author: J. Dixmier
Publisher: Elsevier
ISBN: 0080960154
Category : Mathematics
Languages : en
Pages : 479
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Book Description
In this book, we study, under the name of von Neumann algebras, those algebras generally known as “rings of operators“ or “W*-algebras.“ The new terminology, suggested by J. Dieudonng, is fully justified from the historical point of view. Certain of the results are valid for more general algebras. We have, however systematically avoided this kind of generalization, except when it would facilitate the study of von Neumann algebras themselves. Parts I and I1 comprise those results which at present appear to’be the most useful for applications, although we do not embark on the study of those applications. Part 111, which is more technical, is primarily intended for specialists; it is virtually independent of Part 11.
Author: Richard V. Kadison
Publisher: American Mathematical Soc.
ISBN: 0821814419
Category : Mathematics
Languages : en
Pages : 654
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Book Description
Author: Søren Eilers
Publisher: Academic Press
ISBN: 0128141239
Category : Mathematics
Languages : en
Pages : 540
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Book Description
This elegantly edited landmark edition of Gert Kjærgård Pedersen's C*-Algebras and their Automorphism Groups (1979) carefully and sensitively extends the classic work to reflect the wealth of relevant novel results revealed over the past forty years. Revered from publication for its writing clarity and extremely elegant presentation of a vast space within operator algebras, Pedersen's monograph is notable for reviewing partially ordered vector spaces and group automorphisms in unusual detail, and by strict intention releasing the C*-algebras from the yoke of representations as Hilbert space operators. Under the editorship of Søren Eilers and Dorte Olesen, the second edition modernizes Pedersen's work for a new generation of C*-algebraists, with voluminous new commentary, all-new indexes, annotation and terminology annexes, and a surfeit of new discussion of applications and of the author's later work. - Covers basic C*-algebras theory in a short and appealingly elegant way, with a few additions and corrections given to the editors by the original author - Expands coverage to select contemporary accomplishments in C*-algebras of direct relevance to the scope of the first edition, including aspects of K-theory and set theory - Identifies key modern literature in an updated bibliography with over 100 new entries, and greatly enhances indexing throughout - Modernizes coverage of algebraic problems in relation to the theory of unitary representations of locally compact groups - Reviews mathematical accomplishments of Gert K. Pedersen in comments and a biography
Author: Serban Stratila
Publisher: Routledge
ISBN:
Category : Mathematics
Languages : en
Pages : 486
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Book Description
Author: O. A. Nielsen
Publisher: CRC Press
ISBN: 9780824769710
Category : Mathematics
Languages : en
Pages : 186
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Book Description
This book covers various topics related to direct integral theory, including Borel spaces, direct integral of Hilbert spaces and operators, direct integrals of representations, direct integrals and types of von Neumann algebras, and measures on the quasi-dual representations.
Author: Nihon Sūgakkai
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 764
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Book Description
Author: Ioseb Genebashvili
Publisher: CRC Press
ISBN: 9780582302952
Category : Mathematics
Languages : en
Pages : 432
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Book Description
This volume gives an account of the current state of weight theory for integral operators, such as maximal functions, Riesz potential, singular integrals and their generalization in Lorentz and Orlicz spaces. Starting with the crucial concept of a space of homogeneous type, it continues with general criteria for the boundedness of the integral operators considered, then address special settings and applications to classical operators in Euclidean spaces.
