Wiener's Lemma for Infinite Matrices II

    Authors

    Q. Y. Sun

    Comments

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    Abbreviated Journal Title

    Constr. Approx.

    Keywords

    Wiener's lemma; Beurling algebra; Muckenhoupt A(q)-weight; Infinite; matrix; Stability; Left inverse; FINITE SECTION METHOD; OFF-DIAGONAL DECAY; BANACH-ALGEBRAS; PSEUDODIFFERENTIAL-OPERATORS; FRAMES; RECONSTRUCTION; INEQUALITIES; SUMMABILITY; INNOVATION; STABILITY; Mathematics

    Abstract

    In this paper, we introduce a class of infinite matrices related to the Beurling algebra of periodic functions, and we show that it is an inverse-closed subalgebra of B(l(w)(q)), the algebra of all bounded linear operators on the weighted sequence space l(w)(q), for any 1 < = q < infinity and any discrete Muckenhoupt A (q) -weight w.

    Journal Title

    Constructive Approximation

    Volume

    34

    Issue/Number

    2

    Publication Date

    1-1-2011

    Document Type

    Article

    Language

    English

    First Page

    209

    Last Page

    235

    WOS Identifier

    WOS:000293296800003

    ISSN

    0176-4276

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