Symmetric Banach manifolds and Jordan C*-algebras
Upmeier, Harald, 1950-
Symmetric Banach manifolds and Jordan C*-algebras [electronic resource] / Harald Upmeier. - Amsterdam ; New York : New York, N.Y., U.S.A. : North-Holland ; Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1985. - 1 online resource (xii, 444 p.) - Notas de matem�atica ; 96 North-Holland mathematics studies ; 104 . - North-Holland mathematics studies ; 104. Notas de matem�atica (Rio de Janeiro, Brazil) ; no. 96. .
Includes bibliographical references (p. 425-434) and indexes.
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.
9780444876515 0444876510
119937:123144 Elsevier Science & Technology http://www.sciencedirect.com
Banach manifolds.
Jordan algebras.
C*-algebras.
Jordan, Alg�ebres de.
C*-alg�ebres.
Banach, Vari�et�es de.
Jordan-algebra's.
Banachruimten.
C*-algebra's.
Algebras De Banach.
Banach manifolds.
C*-algebras.
Jordan algebras.
Electronic books.
QA1 / .N86 no. 96eb QA322.2 / .U66 1985eb
510 515.7/32
Symmetric Banach manifolds and Jordan C*-algebras [electronic resource] / Harald Upmeier. - Amsterdam ; New York : New York, N.Y., U.S.A. : North-Holland ; Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1985. - 1 online resource (xii, 444 p.) - Notas de matem�atica ; 96 North-Holland mathematics studies ; 104 . - North-Holland mathematics studies ; 104. Notas de matem�atica (Rio de Janeiro, Brazil) ; no. 96. .
Includes bibliographical references (p. 425-434) and indexes.
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.
9780444876515 0444876510
119937:123144 Elsevier Science & Technology http://www.sciencedirect.com
Banach manifolds.
Jordan algebras.
C*-algebras.
Jordan, Alg�ebres de.
C*-alg�ebres.
Banach, Vari�et�es de.
Jordan-algebra's.
Banachruimten.
C*-algebra's.
Algebras De Banach.
Banach manifolds.
C*-algebras.
Jordan algebras.
Electronic books.
QA1 / .N86 no. 96eb QA322.2 / .U66 1985eb
510 515.7/32
