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<p>In this paper, we give refinements of the classical Pólya inequality for real numbers, finite-dimensional matrices, and <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(C^*\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>C</mi> <mo>∗</mo> </msup> </math></EquationSource> </InlineEquation>-algebras. Moreover, we correct some previously obtained versions of refinements of the Heinz and Pólya inequality and generalize and improve them for <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(C^*\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>C</mi> <mo>∗</mo> </msup> </math></EquationSource> </InlineEquation>-algebras.</p>

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Interpolating the Heinz and Pólya inequality and its operator version

  • 期刊论文

  • 发表日期：

    2025年4月30日

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  • Hojjatollah Samea,
  • Ghodratollah Shafiei

摘要

In this paper, we give refinements of the classical Pólya inequality for real numbers, finite-dimensional matrices, and \(C^*\) C ∗ -algebras. Moreover, we correct some previously obtained versions of refinements of the Heinz and Pólya inequality and generalize and improve them for \(C^*\) C ∗ -algebras.