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Gelfand-Hille theorems for Cesàro means


Driss Drissi
Jaroslav Zem&#225nek

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.

Quaestiones Mathematicae 23(2000), 375–381

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eISSN: 1727-933X
print ISSN: 1607-3606