Jordan structures in geometry and analysis /

Jordan structures in geometry and analysis /

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Bibliographic Details
Author / Creator:Chu, Cho-Ho.
Imprint:Cambridge : Cambridge University Press, 2012.
Description:x, 261 p. : ill. ; 23 cm.
Language:English
Series:Cambridge tracts in mathematics ; 190
Cambridge tracts in mathematics ; 190.
Subject:
Jordan algebras.
Geometry, Differential.
Functional analysis.
Lie algebras.
Functional analysis.
Geometry, Differential.
Jordan algebras.
Lie algebras.
Format: Print Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/8628026
Hidden Bibliographic Details
ISBN:9781107016170 (hbk.)
1107016177 (hbk.)
Notes:Includes bibliographical references (p. 251-256) and index.
Table of 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
  • 3.3. Contractive projections on JB*-triples
  • 3.4. Isometries between JB-triples
  • 3.5. Hilbert spaces
  • Notes
  • Bibliography
  • Index

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