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Simultaneous Automorphisms in Spaces of Analytic Functions

Published online by Cambridge University Press:  20 November 2018

A. Alexiewicz
Affiliation:
University of Poznan
M. G. Arsove
Affiliation:
University of Washington
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Two spaces of analytic functions are considered, each comprised of functions analytic on the open disk NR(0) of radius R (0 < R < +∞ ) centred at the origin. The first space consists of all analytic functions on NR(0) topologized according to the metric of uniform convergence on compact sets. As the second space we allow any Fréchet space of analytic functions on NR(0) for which the topology is stronger than that induced by . Our objective is then to present a scheme for constructing simultaneous automorphisms on and .

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1963

References

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