Beurling-Pollard type theorems
Functional Analysis
2007-05-23 v1 Operator Algebras
Abstract
We establish a version of the Beurling-Pollard theorem for operator synthesis and apply it to derive some results on linear operator equations and to prove a Beurling-Pollard type theorem for Varopoulos tensor algebras. Additionally we establish a Beurling-Pollard theorem for weighted Fourier algebras and use it to obtain ascent estimates for operators that are functions of generalized scalar operators.
Keywords
Cite
@article{arxiv.math/0508165,
title = {Beurling-Pollard type theorems},
author = {Victor Shulman and Lyudmila Turowska},
journal= {arXiv preprint arXiv:math/0508165},
year = {2007}
}
Comments
15 pages