Wiener's Lemma for Infinite Matrices II

Details Wiener's Lemma for Infinite Matrices II Wiener's Lemma for Infinite Matrices II

2010-01-09

arxiv.org/abs/1001.1457v1

Constructive Approximation, 2011

Mathematics

Functional Analysis

Scientific paper

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 ${\mathcal B}(\ell^q_w)$, the algebra of all
bounded linear operators on the weight sequence space $\ell^q_w$, for any $1\le
q<\infty$ and any discrete Muckenhoupt $A_q$-weight $w$.

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