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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Factorization of holomorphic mappings
on $C(K)$-spaces

Author: Jari Taskinen
Journal: Proc. Amer. Math. Soc. 125 (1997), 2337-2346
MSC (1991): Primary 46G20; Secondary 47H99
MathSciNet review: 1377010
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Abstract: We prove a universal mapping theorem for a large class of holomorphic mappings $F$ on a $C(K)$-space, stating that $F$ can be locally written in the form $F(f) = B \bigl ( 1 /( 1 - Af) \bigr ), $ where $A$ and $B $ are bounded linear operators on certain Banach spaces consisting of functions on $K$, and the division is taken pointwise.

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Jari Taskinen
Affiliation: Department of Mathematics, P.O. Box 4 (Hallituskatu 15), Fin-00014 University of Helsinki, Finland
Email: Jari.Taskinen@Helsinki.Fi

Received by editor(s): August 16, 1995
Received by editor(s) in revised form: February 20, 1996
Communicated by: Theodore W. Gamelin
Article copyright: © Copyright 1997 American Mathematical Society