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<p>We investigate the new class of <i>uaw</i>-<InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(w^{\star }\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>w</mi> <mo>⋆</mo> </msup> </math></EquationSource> </InlineEquation> <i>Dunford-Pettis</i> operators, providing a characterization for when they coincide with <i>uaw</i>-<i>Dunford-Pettis</i> operators. Our study also establishes precise connections between <i>uaw</i>-<InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(w^{\star }\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>w</mi> <mo>⋆</mo> </msup> </math></EquationSource> </InlineEquation> Dunford-Pettis operators and both <i>M</i>-<i>weakly compact</i> and <i>L</i>-<i>weakly compact</i> operators.</p>

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On positive uaw-w Dunford-Pettis operators

  • 期刊论文

  • 发表日期：

    2026年5月5日

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  • Zied Jbeli

摘要

We investigate the new class of uaw- \(w^{\star }\) w ⋆ Dunford-Pettis operators, providing a characterization for when they coincide with uaw-Dunford-Pettis operators. Our study also establishes precise connections between uaw- \(w^{\star }\) w ⋆ Dunford-Pettis operators and both M-weakly compact and L-weakly compact operators.