Jordan Structures in Geometry and Analysis

Jordan Structures in Geometry and Analysis

by Chu, Cho-Ho

Type Book
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Presents recent advances of Jordan theory in differential geometry, complex and functional analysis, with numerous examples and historical notes.

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Title Statements

  • Full title :Jordan Structures in Geometry and Analysis / Cho-Ho Chu.

Summary

Presents recent advances of Jordan theory in differential geometry, complex and functional analysis, with numerous examples and historical notes.

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Edition Statements

  • Publication Date:2011.

Publication Statements

Notes

Title from publishers bibliographic system (viewed on 01 Aug 2014).

The Physical Object

  • Description:1 online resource (272 p.) : : digital, PDF file(s)

Edition Identifiers

  • ISBN:9781107016170, 1107016177, 9781139060165, 1139060163
  • oclc:ocn916522824
  • Dewey Decimal:512.1

Table of Contents

Cover; CAMBRIDGE TRACTS IN MATHEMATICS; Cover; Title; Copyright; Dedication; Contents; Preface; 1 Jordan and Lie theory; 1.1 Jordan algebras; 1.2 Jordan triple systems; 1.3 Lie algebras and the Tits-Kantor-Koecher construction; 1.4 Matrix Lie groups; Notes; 2 Jordan structures in geometry; 2.1 Banach manifolds and Lie groups; 2.2 Riemannian manifolds; 2.3 Jordan algebras and Riemannian symmetric spaces; 2.4 Jordan triples and Riemannian symmetric spaces; 2.5 Jordan triples and symmetric domains; Notes; 3 Jordan structures in analysis; 3.1 Banach spaces; 3.2 Holomorphic mappings.

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Subjects

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