Continuous Reinhardt domains from a Jordan viewpoint

• Autorzy: L. L. Stachó
• Języki publikacji: EN

Abstrakty

EN

As a natural extension of bounded complete Reinhardt domains in $ℂ^{N}$ to spaces of continuous functions, continuous Reinhardt domains (CRD) are bounded open connected solid sets in commutative C*-algebras with respect to the natural ordering. We give a complete parametric description for the structure of holomorphic isomorphisms between CRDs and characterize the partial Jordan triple structures which can be associated with some CRDs. On the basis of these results, we test two conjectures concerning the Jordan structure of bounded circular domains. It turns out that both the problems of bidualization and unique extension of inner derivations have positive solution in the setting of CRDs.

Kategorie tematyczne

• 46G20: Infinite-dimensional holomorphy
• 32M12: Almost homogeneous manifolds and spaces
• 32M15: Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2008
• Tom: 185
• Numer: 2
• Strony: 177-199

Daty

wydano

2008

Twórcy

autor

L. L. Stachó

• Bolyai Institute, Aradi Vértanúk tere 1, H-6725 Szeged, Hungary

Identyfikatory

DOI

10.4064/sm185-2-6