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On Uniformly stable r - contractions
by
Adina Juratoni
"Politehnica" University Timisoara
In this paper we continue the study for representations of uniform algebras. More precisely some results of uniformly stable r - contractions T, that is having the spectrum in the open unit disc, are presented. This results are generalized versions for r - contractions of theorems for uniformly stable contractions (the case r = 1). We define a new metric on the set of uniformly stable r-contractions, using an operatorial kernel attached of T. Also, for the kernel metric we obtain a property of Lipschitz type, using a "mapping" theorem for r- contractions.
Date received: June 14, 2008
Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caxn-01.