Wiener's Lemma for Infinite Matrices II

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

References in corpus (5)

• Stability of Localized Operators
• Quantitative Estimates for the Finite Section Method
• Noncommutative Approximation: Inverse-Closed Subalgebras and Off-Diagonal Decay of Matrices
• Stability Criterion for Convolution-Dominated Infinite Matrices
• Left inverses of matrices with polynomial decay