Some improvements of the Katznelson-Tzafriri theorem on Hilbert space
Functional Analysis
2019-02-14 v1
Abstract
This paper extends two recent improvements in the Hilbert space setting of the well-known Katznelson-Tzafriri theorem by establishing both a version of the result valid for bounded representations of a large class of abelian semigroups and a quantified version for contractive representations. The paper concludes with an outline of an improved version of the Katznelson-Tzafriri theorem for individual orbits, whose validity extends even to certain unbounded representations.
Keywords
Cite
@article{arxiv.1410.1294,
title = {Some improvements of the Katznelson-Tzafriri theorem on Hilbert space},
author = {David Seifert},
journal= {arXiv preprint arXiv:1410.1294},
year = {2019}
}
Comments
13 pages, to appear in Proceedings of the American Mathematical Society