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Wiener's Lemma for Infinite Matrices II

Published 9 Jan 2010 in math.FA and math.OA | (1001.1457v1)

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

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