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<p>In this note, we discuss some issues related to the S-eigenvalue of finite type in quaternionic setting. We will start by proving the pseudo-Browder equation in the quaternionic case. The proof is based on the properties of the Riesz projection associated with the spectral set of a bounded operators. In the second part, we study the absence of the S-eigenvalue of finite type in the <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(S-\)</EquationSource> </InlineEquation>essential spectra.</p>

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Some results related to the S-eigenvalue of finite type in the quaternionic setting

  • 期刊论文

  • 发表日期：

    2026年1月7日

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  • Sayda Belgacem

摘要

In this note, we discuss some issues related to the S-eigenvalue of finite type in quaternionic setting. We will start by proving the pseudo-Browder equation in the quaternionic case. The proof is based on the properties of the Riesz projection associated with the spectral set of a bounded operators. In the second part, we study the absence of the S-eigenvalue of finite type in the \(S-\) essential spectra.