Symmetric Banach Manifolds and Jordan C*-Algebras

Content:
Editor:
Page ii

Edited by
Page iii

Copyright page
Page iv

Dedication
Page v

Preface
Pages vii-ix
H. Upmeier

Section 1 Analytic Mappings on Ranach Spaces
Pages 2-21

Section 2 Banach Algebras
Pages 22-35

Section 3 Banach Manifolds
Pages 36-52

Section 4 Analytic Vector Fields
Pages 53-66

Section 5 Integration of Vector Fields
Pages 67-91

Section 6 Banach Lie Groups
Pages 92-109

Section 7 Integration of Lie Algebra Actions
Pages 110-120

Section 8 Submanifolds and Ouotient Manifolds
Pages 121-141

Section 9 Binary Banach Lie Algebras
Pages 142-155

Section 10 Locally Uniform Transformation Groups
Pages 156-171

Section 11 Analytic Transformation Groups
Pages 172-186

Section 12 Metric and Normed Hanach Manifolds
Pages 187-207

Section 13 Groups of Holomorphic Isometries
Pages 208-228

Section 14 Order Unit Banach Spaces
Pages 230-246

Section 15 C^*-Algebras
Pages 247-259

Section 16 Tube Domains and Siegel Domains
Pages 260-279

Section 17 Symmetric Banach Manifolds
Pages 280-296

Section 18 Jordan Triple Systems
Pages 297-313

Section 19 Jordan Algebras
Pages 314-328

Section 20 Bounded Symmetric Domains and JB^*-Triples
Pages 329-352

Section 21 Symmetric Siegel Domains
Pages 353-371

Section 22 Automorphism Groups of Jordan Structures
Pages 372-392

Section 23 Classical Banach Manifolds
Pages 393-423

References
Pages 425-434

Subject and Symbols Index
Pages 435-444