STABILITY CRITERION FOR CONVOLUTION-DOMINATED INFINITE MATRICES

    Authors

    Q. Y. Sun

    Comments

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    Abbreviated Journal Title

    Proc. Amer. Math. Soc.

    Keywords

    TIGHT WAVELET FRAMES; OPERATORS; OVERCOMPLETENESS; RECONSTRUCTION; LOCALIZATION; INTERVALS; SPECTRUM; DENSITY; Mathematics, Applied; Mathematics

    Abstract

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

    Journal Title

    Proceedings of the American Mathematical Society

    Volume

    138

    Issue/Number

    11

    Publication Date

    1-1-2010

    Document Type

    Article

    Language

    English

    First Page

    3933

    Last Page

    3943

    WOS Identifier

    WOS:000284022300016

    ISSN

    0002-9939

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