Table of Contents Author Guidelines Submit a Manuscript
Journal of Function Spaces
Volume 2018, Article ID 4732836, 5 pages
https://doi.org/10.1155/2018/4732836
Research Article

Boundedly Spaced Subsequences and Weak Dynamics

1Applied Mathematics Department, Federal University, Rio de Janeiro, RJ, Brazil
2National Laboratory for Scientific Computation, Petrópolis, RJ, Brazil

Correspondence should be addressed to P. C. M. Vieira; rb.ccnl@mcoluap

Received 14 March 2018; Accepted 11 July 2018; Published 5 September 2018

Academic Editor: John R. Akeroyd

Copyright © 2018 C. S. Kubrusly and P. C. M. Vieira. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Weak supercyclicity is related to weak stability, which leads to the question that asks whether every weakly supercyclic power bounded operator is weakly stable This is approached here by investigating weak l-sequential supercyclicity for Hilbert-space contractions through Nagy–Foliaş–Langer decomposition, thus reducing the problem to the quest of conditions for a weakly l-sequentially supercyclic unitary operator to be weakly stable, and this is done in light of boundedly spaced subsequences.