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math.FA2015
A Katznelson-Tzafriri type theorem for Cesàro bounded operators
Luciano Abadias
We extend the well-known Katznelson-Tzafriri theorem, originally posed for power-bounded operators, to the case of Cesàro bounded operators of any order For this purpose, we…
math.FA2015★ 6 cited
Sharp extensions and algebraic properties for solution families of vector-valued differential equations
Luciano Abadias, Carlos Lizama, Pedro J. Miana
In this paper we show the unexpected property that extension from local to global without loss of regularity holds for the solutions of a wide class of vector-valued differential e…
math.FA2015★ 1 cited
Cesáro sums and algebra homomorphisms of bounded operators
Luciano Abadias, Carlos Lizama, Pedro J. Miana +1
Let be a complex Banach space. The connection between algebra homomorphisms defined on subalgebras of the Banach algebra and the algebraic structure of…