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Abstract <p>We study linear preservers of absolute values of normal functionals on von Neumann algebras. We show that maps of this kind are implemented by a <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12202_2025_8347_Article_IEq1.gif" Format="GIF" Height="9" Rendition="HTML" Resolution="72" Type="Linedraw" Width="12" /> </InlineMediaObject> <EquationSource Format="TEX">\(\ast\)</EquationSource> <!--LobJMat2560813Hamhalter-m1--> </InlineEquation>-homomorhisms and central elements of algebras.</p>

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Maps Preserving Absolute Values of Normal Functionals on von Neumann Algebras

  • 期刊论文

  • 发表日期：

    2025年6月1日

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  • Jan Hamhalter,
  • Ekaterina Turilova

摘要

Abstract

We study linear preservers of absolute values of normal functionals on von Neumann algebras. We show that maps of this kind are implemented by a \(\ast\) -homomorhisms and central elements of algebras.