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<p>In this paper, we discuss measure-theoretic characterizations for composition operators in some operator classes on <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="43036_2025_465_Article_IEq1.gif" Format="GIF" Height="20" Rendition="HTML" Resolution="72" Type="Linedraw" Width="43" /> </InlineMediaObject> <EquationSource Format="TEX">\(L^{2}(\Sigma )\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msup> <mi>L</mi> <mn>2</mn> </msup> <mrow> <mo stretchy="false">(</mo> <mi mathvariant="normal">Σ</mi> <mo stretchy="false">)</mo> </mrow> </mrow> </math></EquationSource> </InlineEquation>-semi-Hilbertian spaces with respect to positive multiplication operators.</p>

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Composition operators in \(L^{2}(\Sigma )\)-semi-Hilbertian spaces

  • 期刊论文

  • 发表日期：

    2025年7月12日

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  • H. Emamalipour,
  • M. R. Jabbarzadeh,
  • S. Mohammadpour

摘要

In this paper, we discuss measure-theoretic characterizations for composition operators in some operator classes on \(L^{2}(\Sigma )\) L 2 ( Σ ) -semi-Hilbertian spaces with respect to positive multiplication operators.