Hilbert C*-modules are JB*-triples

2001/12/20 by Jose M. Isidro, Isidro, Jose M.
Mathematics · #17C65 #32M15 #46H25 #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA) #math.CV #math.FA #msc:17C65 #msc:32M15 #msc:46H25

paper · pdf · doi:10.48550/arxiv.math/0112218

5 pages, Latex 2e

arxiv created 2001/12/20 · arxiv updated 2009/11/30

Abstract

We show that every Hilbert C*-module E is a JB*-triple in a canonical way and establish an explicit expression for the holomorphic automorphisms of the unit ball of E.

Related

• Induced representations of Hilbert C^*-modules
• Extensions of Hilbert C*-modules: classification in simple cases
• Hilbert C*-modules and related subjects - a guided reference overview I
• Double duals and Hilbert modules
• Curvature invariant and generalized canonical operator models - II