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arXiv · 0907.3954

Stability Criterion for Convolution-Dominated Infinite Matrices

Qiyu Sun
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Abstract

Let $\ell^p$ be the space of all $p$-summable sequences on $\mathbb{Z}$. An infinite matrix is said to have $\ell^p$-stability if it is bounded and has bounded inverse on $\ell^p$. In this paper, a practical criterion is established for the $\ell^p$-stability of convolution-dominated infinite matrices.

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Qiyu Sun. 2009-07-22. Stability Criterion for Convolution-Dominated Infinite Matrices. https://arxiv.org/abs/0907.3954

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