T. Bermúdez

activity

20012019

most citedArithmetic progressions and its applications to

(m, q)

-isometries: a survey

1 citations · 1 across the 6 of their papers we have counts for

collaborators

7 papers

math.FA2019

Some examples of $m$ -isometries

T. Bermúdez, A. Martinón, H. Zaway

We obtain the admissible sets on the unit circle to be the spectrum of a strict $m$ -isometry on an $n$ -finite dimensional Hilbert space. This property gives a better picture of the…

math.FA2018

$C_{0}$ -semigroups of $m$ -isometries on Hilbert spaces

T. Bermudez, A. Bonilla, H. Zaway

Let ${T (t)}_{t \geq 0}$ be a $C_{0}$ -semigroup on a separable Hilbert space $H$ . We characterize that $T (t)$ is an $m$ -isometry for every $t$ in terms that the mapping $t\in \Bbb R^+…

math.FA2017

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…

math.FA2014

On convex-cyclic operators

T. Bermúdez, A. Bonilla, N. Feldman

We give a Hahn-Banach Characterization for convex-cyclicity. We also obtain an example of a bounded linear operator $S$ on a Banach space with $σ_{p} (S^{*}) = \emptyset$ such that $S$ …

math.NT2014★ 1 cited

Arithmetic progressions and its applications to $(m, q)$ -isometries: a survey

Teresa Bermúdez, Antonio Martinón, Juan Agustín Noda

In this paper we collect some results about arithmetic progressions of higher order, also called polynomial sequences. Those results are applied to $(m, q)$ -isometric maps.

math.FA2010

Li-Yorke and distributionally chaotic operators

T. Bermudez, A. bonilla, F. Martínez-Giménez +1

We study Li-Yorke chaos and distributional chaos for operators on Banach spaces. More precisely, we characterize Li-Yorke chaos in terms of the existence of irregular vectors. Suff…