English

Wiener's Lemma for Infinite Matrices II

Functional Analysis 2010-08-26 v1 Operator Algebras

Abstract

In this paper, we introduce a class of infinite matrices related to the Beurling algebra of periodic functions, and we show that it is an inverse-closed subalgebra of B(wq){\mathcal B}(\ell^q_w), the algebra of all bounded linear operators on the weight sequence space wq\ell^q_w, for any 1q<1\le q<\infty and any discrete Muckenhoupt AqA_q-weight ww.

Keywords

Cite

@article{arxiv.1001.1457,
  title  = {Wiener's Lemma for Infinite Matrices II},
  author = {Qiyu Sun},
  journal= {arXiv preprint arXiv:1001.1457},
  year   = {2010}
}
R2 v1 2026-06-21T14:32:43.965Z