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<p>In this work, we establish singular value and norm inequalities for positive <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="40840_2025_1937_Article_IEq1.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="11" /> </InlineMediaObject> <EquationSource Format="TEX">\(\tau \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>τ</mi> </math></EquationSource> </InlineEquation>-measurable operators affiliated with semifinite von Neumann algebras. The results are formulated in the setting of noncommutative <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="40840_2025_1937_Article_IEq4.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="20" /> </InlineMediaObject> <EquationSource Format="TEX">\(L_p\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>L</mi> <mi>p</mi> </msub> </math></EquationSource> </InlineEquation>-spaces and symmetric operator spaces, extending known inequalities to a broader noncommutative framework.</p>

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Singular Value and Norm Inequalities for Positive \(\tau \)- Measurable Operators

  • 期刊论文

  • 发表日期：

    2025年8月4日

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  • M. Alday,
  • D. Dauitbek

摘要

In this work, we establish singular value and norm inequalities for positive \(\tau \) τ -measurable operators affiliated with semifinite von Neumann algebras. The results are formulated in the setting of noncommutative \(L_p\) L p -spaces and symmetric operator spaces, extending known inequalities to a broader noncommutative framework.