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Continuous Reinhardt domains from a Jordan viewpoint

L. L. Stachó — 2008

Studia Mathematica

As a natural extension of bounded complete Reinhardt domains in 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...

On the existence of fixed points of holomorphic automorphisms

László L. Stachó — 1979

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

Dato uno spazio di Banach complesso E , si considerano gli automorfismi olomorfi del disco unità B di E , e si esamina il problema dell’esistenza di punti uniti nei casi in cui E sia lo spazio delle funzioni continue su un compatto od un reticolo di tipo M .

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