Non-associative normed algebras: Volume 1, The Vidav-Palmer and Gelfand-Naimark theorems
Author:
Series:
Publisher:
Cambridge University Press
Pub. Date:
2014
Language:
English
Description
This first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field. This first volume focuses on the non-associative generalizations of (associative) C*-algebras provided by the so-called non-associative Gelfand-Naimark and Vidav-Palmer theorems, which give rise to alternative C*-algebras and non-commutative JB*-algebras, respectively. The relationship between non-commutative JB*-algebras and JB*-triples is also fully discussed. The second volume covers Zel'manov's celebrated work in Jordan theory to derive classification theorems for non-commutative JB*-algebras and JB*-triples, as well as other topics. The book interweaves pure algebra, geometry of normed spaces, and complex analysis, and includes a wealth of historical comments, background material, examples and exercises. The authors also provide an extensive bibliography.
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ISBN:
9781107337763
9781316002063
9781139985833
9781322066707
9781316008805
9781139990455
9781316013304
9781316011065
9781316004302
9781316006566
9781316002063
9781139985833
9781322066707
9781316008805
9781139990455
9781316013304
9781316011065
9781316004302
9781316006566
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Grouping Information
Grouped Work ID | 981eea43-24d4-5626-6a5b-03d4076881c1 |
---|---|
Grouping Title | non associative normed algebras volume 1 the vidav palmer and gelfand naimark theorems |
Grouping Author | miguel cabrera garcia |
Grouping Category | book |
Grouping Language | English (eng) |
Last Grouping Update | 2024-04-05 21:12:39PM |
Last Indexed | 2024-05-02 01:08:16AM |
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auth_author2
Rodriguez Palacios, Ángel
author
Cabrera García, Miguel
author2-role
Rodriguez Palacios, Ángel,author
author_display
Cabrera García, Miguel
display_description
This first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field. This first volume focuses on the non-associative generalizations of (associative) C*-algebras provided by the so-called non-associative Gelfand-Naimark and Vidav-Palmer theorems, which give rise to alternative C*-algebras and non-commutative JB*-algebras, respectively. The relationship between non-commutative JB*-algebras and JB*-triples is also fully discussed. The second volume covers Zel'manov's celebrated work in Jordan theory to derive classification theorems for non-commutative JB*-algebras and JB*-triples, as well as other topics. The book interweaves pure algebra, geometry of normed spaces, and complex analysis, and includes a wealth of historical comments, background material, examples and exercises. The authors also provide an extensive bibliography.
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eBook
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981eea43-24d4-5626-6a5b-03d4076881c1
isbn
9781107337763
9781139985833
9781139990455
9781316002063
9781316004302
9781316006566
9781316008805
9781316011065
9781316013304
9781322066707
9781139985833
9781139990455
9781316002063
9781316004302
9781316006566
9781316008805
9781316011065
9781316013304
9781322066707
last_indexed
2024-05-02T07:08:16.389Z
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Non Fiction
literary_form_full
Non Fiction
primary_isbn
9781107337763
publishDate
2014
publisher
Cambridge University Press
recordtype
grouped_work
series
Encyclopedia of mathematics and its applications
series_with_volume
Encyclopedia of mathematics and its applications|154
subject_facet
Algebra
Algèbre
Álgebra
Banach algebras
MATHEMATICS -- Algebra -- Intermediate
algebra
Algèbre
Álgebra
Banach algebras
MATHEMATICS -- Algebra -- Intermediate
algebra
title_display
Non-associative normed algebras. : Volume 1, The Vidav-Palmer and Gelfand-Naimark theorems
title_full
Non-associative normed algebras. Volume 1, The Vidav-Palmer and Gelfand-Naimark theorems / Miguel Cabrera García, Universidad de Granada, Ángel Rodriguez Palacios, Universidad de Granada
title_short
Non-associative normed algebras
title_sub
Volume 1, The Vidav-Palmer and Gelfand-Naimark theorems
topic_facet
Algebra
Algèbre
Álgebra
Banach algebras
Intermediate
MATHEMATICS
algebra
Algèbre
Álgebra
Banach algebras
Intermediate
MATHEMATICS
algebra
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