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Jordan Triple Systems in Complex and Functional Analysis
About this Title
José M. Isidro, University of Santiago de Compostela, Santiago de Compostela, Galicia, Spain
Publication: Mathematical Surveys and Monographs
Publication Year:
2019; Volume 243
ISBNs: 978-1-4704-5083-0 (print); 978-1-4704-5440-1 (online)
DOI: https://doi.org/10.1090/surv/243
MathSciNet review: 3971261
MSC: Primary 46L87; Secondary 17C65, 22E65, 32M15, 58B12, 58B25
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Front/Back Matter
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
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
- 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
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