Click Here to Download: https://ouo.io/zon2DI Symmetric Banach Manifolds and Jordan C*-Algebras By: Upmeier, H. Publisher: North Holland Print ISBN: 9780444876515, 0444876510 eText ISBN: 9780444876515, 9780080872155, 0080872158 Pages: 442 Format: PDF Available from $ 240.00 USD SKU 9780444876515 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.
