Symmetric Banach manifolds and Jordan C*-algebras [electronic resource] / Harald Upmeier.
Material type:
TextSeries: North-Holland mathematics studies ; 104. | Notas de matem�atica (Rio de Janeiro, Brazil) ; no. 96.Publication details: 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. Description: 1 online resource (xii, 444 p.)ISBN: 9780444876515; 0444876510Subject(s): 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 algebrasGenre/Form: Electronic books.Additional physical formats: Print version:: Symmetric Banach manifolds and Jordan C*-algebras.DDC classification: 510 | 515.7/32 LOC classification: QA1 | .N86 no. 96ebQA322.2 | .U66 1985ebOnline resources: ScienceDirect | Volltext Summary: 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.
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.
Includes bibliographical references (p. 425-434) and indexes.
Description based on print version record.
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