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Singular Traces

Symmetric Functionals And Singular Traces
Author: Steven Lord
Publisher: Walter de Gruyter
ISBN: 311026255X
Size: 10.96 MB
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This text is the first complete study and monograph dedicated to singular traces. For mathematical readers the text offers, due to Nigel Kalton's contribution, a complete theory of traces on symmetrically normed ideals of compact operators. For mathematical physicists and other users of Connes' noncommutative geometry the text offers a complete reference to Dixmier traces and the deeper mathematical features of singular traces. An application section explores the consequences of these features, which previously were not discussed in general texts on noncommutative geometry.
Singular Traces
Language: en
Pages: 468
Authors: Steven Lord, Fedor Sukochev, Dmitriy Zanin
Categories: Mathematics
Type: BOOK - Published: 2012-12-19 - Publisher: Walter de Gruyter
This text is the first complete study and monograph dedicated to singular traces. For mathematical readers the text offers, due to Nigel Kalton's contribution, a complete theory of traces on symmetrically normed ideals of compact operators. For mathematical physicists and other users of Connes' noncommutative geometry the text offers a complete reference to Dixmier traces and the deeper mathematical features of singular traces. An application section explores the consequences of these features, which previously were not discussed in general texts on noncommutative geometry.
Mathematical Reviews
Language: en
Pages:
Authors: Steven Lord, Fedor Sukochev, Dmitriy Zanin
Categories: Mathematics
Type: BOOK - Published: 2005 - Publisher:
Books about Mathematical Reviews
Russian Mathematical Surveys
Language: en
Pages:
Authors: Steven Lord, Fedor Sukochev, Dmitriy Zanin
Categories: Mathematicians
Type: BOOK - Published: 2006 - Publisher:
Books about Russian Mathematical Surveys
Spectral Action in Noncommutative Geometry
Language: en
Pages: 155
Authors: Michał Eckstein, Bruno Iochum
Categories: Science
Type: BOOK - Published: 2018-12-18 - Publisher: Springer
What is spectral action, how to compute it and what are the known examples? This book offers a guided tour through the mathematical habitat of noncommutative geometry à la Connes, deliberately unveiling the answers to these questions. After a brief preface flashing the panorama of the spectral approach, a concise primer on spectral triples is given. Chapter 2 is designed to serve as a toolkit for computations. The third chapter offers an in-depth view into the subtle links between the asymptotic expansions of traces of heat operators and meromorphic extensions of the associated spectral zeta functions. Chapter 4 studies the behaviour of the spectral action under fluctuations by gauge potentials. A subjective list of open problems in the field is spelled out in the fifth Chapter. The book concludes with an appendix including some auxiliary tools from geometry and analysis, along with examples of spectral geometries. The book serves both as a compendium for researchers in the domain of noncommutative geometry and an invitation to mathematical physicists looking for new concepts.
Zapiski nauchnykh seminarov POMI
Language: ru
Pages:
Authors: Michał Eckstein, Bruno Iochum
Categories: Mathematics
Type: BOOK - Published: 2002 - Publisher:
Books about Zapiski nauchnykh seminarov POMI
Известия Академии наук
Language: ru
Pages:
Authors: Michał Eckstein, Bruno Iochum
Categories: Mathematics
Type: BOOK - Published: 2003 - Publisher:
Books about Известия Академии наук
Advances in Noncommutative Geometry
Language: en
Pages: 751
Authors: Ali Chamseddine, Caterina Consani, Nigel Higson, Masoud Khalkhali, Henri Moscovici, Guoliang Yu
Categories: Mathematics
Type: BOOK - Published: 2020-01-13 - Publisher: Springer Nature
This authoritative volume in honor of Alain Connes, the foremost architect of Noncommutative Geometry, presents the state-of-the art in the subject. The book features an amalgam of invited survey and research papers that will no doubt be accessed, read, and referred to, for several decades to come. The pertinence and potency of new concepts and methods are concretely illustrated in each contribution. Much of the content is a direct outgrowth of the Noncommutative Geometry conference, held March 23–April 7, 2017, in Shanghai, China. The conference covered the latest research and future areas of potential exploration surrounding topology and physics, number theory, as well as index theory and its ramifications in geometry.
Journal of Research of the National Bureau of Standards
Language: en
Pages:
Authors: Ali Chamseddine, Caterina Consani, Nigel Higson, Masoud Khalkhali, Henri Moscovici, Guoliang Yu
Categories: Mathematical physics
Type: BOOK - Published: 1970 - Publisher:
Books about Journal of Research of the National Bureau of Standards
Annales de l'Institut Fourier
Language: fr
Pages:
Authors: Ali Chamseddine, Caterina Consani, Nigel Higson, Masoud Khalkhali, Henri Moscovici, Guoliang Yu
Categories: Mathematics
Type: BOOK - Published: 2005 - Publisher:
Books about Annales de l'Institut Fourier
Traces of Singular Moduli, Modular Forms, and Maass Forms
Language: en
Pages: 55
Authors: Paul M. Jenkins
Categories: Mathematics
Type: BOOK - Published: 2006 - Publisher:
Books about Traces of Singular Moduli, Modular Forms, and Maass Forms