Bounded Symmetric Domains In Banach Spaces

Autor: Cho-ho Chu
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Bounded Symmetric Domains In Banach Spaces

Bounded Symmetric Domains In Banach Spaces

Autor: Cho-ho Chu
ISBN
a2144c79-5794-3648-8f3b-bf4dc5d2a4c2
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.
  • Categoría BISAC MAT012020
  • Formato Epub 3
  • Idioma Inglés
  • Año 2020
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