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<p>Weighted <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10958_2025_7577_Article_IEq1.gif" Format="GIF" Height="15" Rendition="HTML" Resolution="72" Type="Linedraw" Width="27" /> </InlineMediaObject> <EquationSource Format="TEX">\(p-\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>p</mi> <mo>-</mo> </mrow> </math></EquationSource> </InlineEquation>power analogues of Wiener type theorem are obtained for off-diagonal decay rates of inverses of (infinite) matrices of operators, vector valued functions that are periodic at infinity, operators whose matrix entries are generated using (Parseval) frame, fusion frame, fuzzy fusion frame and <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10958_2025_7577_Article_IEq2.gif" Format="GIF" Height="15" Rendition="HTML" Resolution="72" Type="Linedraw" Width="27" /> </InlineMediaObject> <EquationSource Format="TEX">\(g-\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>g</mi> <mo>-</mo> </mrow> </math></EquationSource> </InlineEquation>frame, almost periodic elements of Banach algebras and difference operators.</p>

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WIENER TYPE THEOREM FOR SOME OPERATOR ALGEBRAS AND ELEMENTS OF BANACH ALGEBRA

  • 期刊论文

  • 发表日期：

    2025年2月25日

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  • Prakash A. Dabhi,
  • Karishman B. Solanki

摘要

Weighted \(p-\) p - power analogues of Wiener type theorem are obtained for off-diagonal decay rates of inverses of (infinite) matrices of operators, vector valued functions that are periodic at infinity, operators whose matrix entries are generated using (Parseval) frame, fusion frame, fuzzy fusion frame and \(g-\) g - frame, almost periodic elements of Banach algebras and difference operators.