Stability Criterion for Convolution-Dominated Infinite Matrices

Details Stability Criterion for Convolution-Dominated Infinite Matrices Stability Criterion for Convolution-Dominated Infinite Matrices

2009-07-22

arxiv.org/abs/0907.3954v1

Mathematics

Operator Algebras

Scientific paper

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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