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<p>The purpose of this paper is to study (unbounded) commutants and (unbounded) bicommutants of unbounded Tomita’s observable algebras called <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11785_2025_1785_Article_IEq1.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="21" /> </InlineMediaObject> <EquationSource Format="TEX">\(T^\dagger \)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>T</mi> <mo>†</mo> </msup> </math></EquationSource> </InlineEquation>-algebras in detail. The play an important role in studies of <InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11785_2025_1785_Article_IEq1.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="21" /> </InlineMediaObject> <EquationSource Format="TEX">\(T^\dagger \)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>T</mi> <mo>†</mo> </msup> </math></EquationSource> </InlineEquation>-algebras.</p>

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Unbounded Commutants and Bicommutants of \(T^\dagger \)-Algebras

  • 期刊论文

  • 发表日期：

    2025年8月7日

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  • Hiroshi Inoue

摘要

The purpose of this paper is to study (unbounded) commutants and (unbounded) bicommutants of unbounded Tomita’s observable algebras called \(T^\dagger \) T † -algebras in detail. The play an important role in studies of \(T^\dagger \) T † -algebras.