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JULIA'S LEMMA AND WOLFF'S THEOREM FOR J*-ALGEBRAS

By Kazimierz Wlodarczyk

Abstract

ABSTRACT. Julia's lemma and Wolff's theorem are established for (Fréchet-) holomorphic maps of bounded symmetric homogeneous domains in infinite dimensional complex Banach spaces called J*-algebras. 1. Introduction. In [11] V. P. Potapov extended the classical lemma of G. Julia [8, p. 87] to matrix-valued holomorphic maps of a complex variable. Next, I. Glicksberg [6] and K. Fan [5] proved the versions of Julia's lemma for function algebras and for holomorphic maps of proper contraction operators in the sense of functional calculus, respectively

Year: 2013
OAI identifier: oai:CiteSeerX.psu:10.1.1.352.4737
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