Gelfand-Hille theorems for cesàro means

Original Articles

Gelfand-Hille theorems for cesàro means

Published in: Quaestiones Mathematicae
Volume 23 , issue 3 , 2000 , pages: 375–381
DOI: 10.2989/16073600009485984
Author(s): Driss Drissi , Jaroslav Zemánek
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Abstract

The growth conditions on the powers in the Gelfand-Hille theorems can be replaced by the same conditions on the Cesàro means, retaining the conclusions. Moreover, the assumptions can be further weakened on one of the two sides.
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