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<p>Given a mapping on a unital C<InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(^*\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mo>∗</mo> </mmultiscripts> </math></EquationSource> </InlineEquation>-algebra that satisfies the quadratic Leibniz rule, a result of Isidro shows that it is automatically additive, and under the assumption of continuity, it is real homogeneous. We show, moreover, that it is in fact complex homogeneous.</p>

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Complex Homogeneity of Mappings Satisfying the Quadratic Leibniz Rule

  • 期刊论文

  • 发表日期：

    2026年4月16日

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  • Mohsen Niazi

摘要

Given a mapping on a unital C \(^*\) ∗ -algebra that satisfies the quadratic Leibniz rule, a result of Isidro shows that it is automatically additive, and under the assumption of continuity, it is real homogeneous. We show, moreover, that it is in fact complex homogeneous.