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<p>Let <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\({\mathcal {A}}\)</EquationSource> </InlineEquation> be a Banach algebra and let <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(\varphi \)</EquationSource> </InlineEquation> be a non-zero character on <InlineEquation ID="IEq6"> <EquationSource Format="TEX">\({\mathcal {A}}\)</EquationSource> </InlineEquation>. In this work we give some fixed point characterizations of <InlineEquation ID="IEq7"> <EquationSource Format="TEX">\(\varphi \)</EquationSource> </InlineEquation>-ergodic property of Banach right <InlineEquation ID="IEq8"> <EquationSource Format="TEX">\({\mathcal {A}}\)</EquationSource> </InlineEquation>-modules. As an application, we characterize <InlineEquation ID="IEq9"> <EquationSource Format="TEX">\(\varphi \)</EquationSource> </InlineEquation>-ergodic property of weakly almost periodic Banach modules in terms of extreme left amenability of certain semigroups.</p>

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Some fixed point characterizations of \(\varphi \)-ergodic property

  • 期刊论文

  • 发表日期：

    2026年5月22日

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  • Mehdi Nemati,
  • Eghbal Ghaderi

摘要

Let \({\mathcal {A}}\) be a Banach algebra and let \(\varphi \) be a non-zero character on \({\mathcal {A}}\) . In this work we give some fixed point characterizations of \(\varphi \) -ergodic property of Banach right \({\mathcal {A}}\) -modules. As an application, we characterize \(\varphi \) -ergodic property of weakly almost periodic Banach modules in terms of extreme left amenability of certain semigroups.