2 citations · 2 across the 1 of their papers we have counts for
5 papers
Kreiss bounded and uniformly Kreiss bounded operators
A. Bonilla, V. Müller
If is a Kreiss bounded operator on a Banach space, then . Forty years ago Shields conjectured that in Hilbert spaces, . A negative answer t…
Reiterative distributional chaos on Banach spaces
Antonio Bonilla, Marko Kostić
If we change the upper and lower density in the definition of distributional chaos of a continuous linear operator on Banach space by the Banach upper and Banach lower density, res…
-semigroups of -isometries on Hilbert spaces
T. Bermudez, A. Bonilla, H. Zaway
Let be a -semigroup on a separable Hilbert space . We characterize that is an -isometry for every in terms that the mapping $t\in \Bbb R^+…
Growth orders and ergodicity for absolutely Cesàro bounded operators
Luciano Abadias, Antonio Bonilla
In this paper, we extend the concept of absolutely Cesàro boundedness to the fractional case. We construct a weighted shift operator belonging to this class of operators, and we pr…
Cesàro bounded operators in Banach spaces
Teresa Bermúdez, Antonio Bonilla, Vladimir Müller +1
We study several notions of boundedness for operators. It is known that any power bounded operator is absolutely Cesàro bounded and strong Kreiss bounded (in particular, uniformly…