TY  - BOOK
AU  - Upmeier,Harald
TI  - Symmetric Banach manifolds and Jordan C*-algebras
T2  - Notas de matem�atica
SN  - 9780444876515
AV  - QA1 .N86 no. 96eb
U1  - 510 22
PY  - 1985///
CY  - Amsterdam, New York, New York, N.Y., U.S.A.
PB  - North-Holland, Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.
KW  - Banach manifolds
KW  - Jordan algebras
KW  - C*-algebras
KW  - Jordan, Alg�ebres de
KW  - C*-alg�ebres
KW  - Banach, Vari�et�es de
KW  - Jordan-algebra's
KW  - gtt
KW  - Banachruimten
KW  - C*-algebra's
KW  - Algebras De Banach
KW  - larpcal
KW  - fast
KW  - Electronic books
N1  - Includes bibliographical references (p. 425-434) and indexes
N2  - This book links two of the most active research areas in present day mathematics, namely Infinite Dimensional Holomorphy (on Banach spaces) and the theory of Operator Algebras (C*-Algebras and their non-associative generalizations, the Jordan C*-Algebras). It organizes in a systematic way a wealth of recent results which are so far only accessible in research journals and contains additional original contributions. Using Banach Lie groups and Banach Lie algebras, a theory of transformation groups on infinite dimensional manifolds is presented which covers many important examples such as Grassmann manifolds and the unit balls of operator algebras. The theory also has potential importance for mathematical physics by providing foundations for the construction of infinite dimensional curved phase spaces in quantum field theory
UR  - http://www.sciencedirect.com/science/book/9780444876515
UR  - http://www.sciencedirect.com/science/publication?issn=03040208&volume=104
ER  -