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arXiv · 2307.09340

Browder S-resolvent equation in quaternionic setting

H. Baloudi·A. Jeribi·H. Zmouli
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Abstract

This paper is devoted to the study of the S-eigenvalue of finite type of a bounded right quaternionic linear operator acting in a right quaternionic Hilbert space. The study is based on the different properties of the Riesz projection associated with the connected part of the S-spectrum. Furthermore, we introduce the left and right Browder S-resolvent operators. Inspired by the S-resolvent equation, we give the Browder's S-resolvent equation in quaternionic setting.

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BibTeXRIS

H. Baloudi, A. Jeribi, H. Zmouli. 2023-07-18. Browder S-resolvent equation in quaternionic setting. https://arxiv.org/abs/2307.09340

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