Title

Stability Criterion For Convolution-Dominated Infinite Matrices

Abstract

Let ℓp be the space of all p-summable sequences on Z. An infinite matrix is said to have ℓp-stability if it is bounded and has bounded inverse on ℓp. In this paper, a practical criterion is established for the ℓp-stability of convolution-dominated infinite matrices. © 2010 American Mathematical Society.

Publication Date

11-1-2010

Publication Title

Proceedings of the American Mathematical Society

Volume

138

Issue

11

Number of Pages

3933-3943

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1090/S0002-9939-2010-10319-2

Socpus ID

78149271102 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/78149271102

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