Jordan triple systems in complex and functional analysis /

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Bibliographic Details
Main Author: Isidro, José M. (Author)
Corporate Author: Real Sociedad Matemática Española
Format: Book
Language:English
Published: Providence, Rhode Island : American Mathematical Society, 2019
Series:Mathematical surveys and monographs ; v. 243
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Table of Contents:
  • Analytic manifolds and their automorphism groups Uniform manifolds and their automorphism groups The semigroup $\mathcal {O}_c(X)$ of holomorphic contractions Manifolds with a compatible invariant metrics Manifolds with a compatible tangent norm Symmetric normed manifolds J$^*$-triples and their related Lie algebras The J$^*$-triple associated with a symmetric manifold The symmetric manifold associated with a J$^*$-triple Algebraic study of J$^*$-triples Atomic J$^*$-triples and JH$^*$-triples Spectral properties and bounded J$^*$-triples The Riemann mapping theorem for JB$^*$-triples The category of JB$^*$-triples Automorphisms of bounded symmetric domains Tripotents in JB$^*$-triples Functional calculus in a JB$^*$-triple. Applications Automorphisms of Banach-Grassmann manifolds Symmetric Grassmann manifolds over Hilbert spaces Affine structure of the unit ball in a JB$^*$-triple JB$^*$-triples in dual Banach spaces Structure theory for JBW$^*$-triples and their preduals Facial structure in JBW$^*$-triples and in JB$^*$-triples The strong and strong* topologies in JBW$^*$-triples Derivations of JB$^*$-triples