Jordan Triple Systems in Complex and Functional Analysis

Jose M. Isidro, University of Santiago de Compestela, Santiago de Composetla, Galicia, Spain.

JB$^*$-triples in dual Banach spaces
From bounded domains to symmetric Banach manifolds: 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
Finite Rank J$^*$-triples and JH$^*$-triples: Algebraic study of J$^*$-triples
Atomic J$^*$-triples and JH$^*$-triples
From symmetric Banach manifolds to JB$^*$-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 or JBW$^*$-triples: 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
Some results on functional analysis
Lists of symbols and their meanings
Bibliography
Index.