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<p>In the present work, we develop a functional calculus for <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(\rho _n\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>ρ</mi> <mi>n</mi> </msub> </math></EquationSource> </InlineEquation>-contractions utilizing the <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(\rho _n\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>ρ</mi> <mi>n</mi> </msub> </math></EquationSource> </InlineEquation>-unitary dilation. As a consequence, we obtain a functional calculus applicable to certain operator classes, in particular to power-bounded operators.</p>

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Functional Calculus for \(\rho _n-\)contractions in Hilbert Spaces and Applications

  • 期刊论文

  • 发表日期：

    2026年6月1日

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  • A. Salhi,
  • E. H. Zerouali

摘要

In the present work, we develop a functional calculus for \(\rho _n\) ρ n -contractions utilizing the \(\rho _n\) ρ n -unitary dilation. As a consequence, we obtain a functional calculus applicable to certain operator classes, in particular to power-bounded operators.