Stability criterion for convolution-dominated infinite matrices

• Autores: Qiyu Sun
• Localización: Proceedings of the American Mathematical Society, ISSN 0002-9939, Vol. 138, Nº 11, 2010, págs. 3933-3943
• Idioma: inglés
• DOI: 10.1090/s0002-9939-2010-10319-2
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• Resumen

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