Bounded Symmetric Domains In Banach Spaces

by Cho-ho Chu

Overview

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.

Product Details

ISBN-13:	9789811214103
Publisher:	World Scientific Publishing Company, Incorporated
Publication date:	09/22/2020
Pages:	408
Product dimensions:	6.00(w) x 9.00(h) x 0.94(d)