Bounded Symmetric Domains In Banach Spaces
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A01=Cho-ho Chu
Author_Cho-ho Chu
Banach Space
Bloch Function
Bounded Symmetric Domain
Category=PBKF
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Hermitian Symmetric Space
Holomorphic Homogeneous Regular Manifold
JB*-Triple
Jordan Algebra
Jordan Triple
Siegel Domain
Tits-Kantor-Koecher Lie Algebra
TitsAcAEURA"KantorAcAEURA"Koecher Lie Algebra
Tits–Kantor–Koecher Lie Algebra
Product details
- ISBN 9789811214103
- Publication Date: 22 Sep 2020
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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This timely book exposes succinctly recent advances in the geometric and analytic theory of bounded symmetric domains. A unique feature is the unified treatment of both finite and infinite dimensional symmetric domains, using Jordan theory in tandem with Lie theory. The highlights include a generalized Riemann mapping theorem, which realizes a bounded symmetric domain as the open unit ball of a complex Banach space with a Jordan structure. Far-reaching applications of this realization in complex geometry and function theory are discussed.This monograph is intended as a convenient reference for researchers and graduate students in geometric analysis, infinite dimensional holomorphy as well as functional analysis and operator theory.
