Symmetric Banach Manifolds and Jordan C*-Algebras. North-Holland Mathematics Studies, Volume 104. Harald Upmeier

ISBN: 9781281788214

Published: January 1st 1985

ebook

444 pages


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Symmetric Banach Manifolds and Jordan C*-Algebras. North-Holland Mathematics Studies, Volume 104.  by  Harald Upmeier

Symmetric Banach Manifolds and Jordan C*-Algebras. North-Holland Mathematics Studies, Volume 104. by Harald Upmeier
January 1st 1985 | ebook | PDF, EPUB, FB2, DjVu, AUDIO, mp3, ZIP | 444 pages | ISBN: 9781281788214 | 6.19 Mb

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 (CAlgebras and their non-associative generalizations, the JordanMoreThis 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 (CAlgebras 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.



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