On the local S-spectra with Bishop’s property of operators matrices in a right quaternionic Hilbert space

期刊论文
发表日期：

2025年1月20日

查看全文

Dorsaf Kouas

摘要

In the present paper, enlightened by the S-spectral and the local S-spectral theory of right quaternioinic linear operators, we investigate and study some results of the the S-spectra and local S-spectra of right linear operator matrices. In addition, we give the necessary and sufficient conditions to characterize some S-spectra of block operator matrix in terms of S-spectra of its diagonal entries. More specially, we establish the relationship between the local S-spectrum, approximate S-point spectrum and surjectivity S-spectrum of $2 \times 2$ $2 \times 2$ block operator matrix and S-spectra of its diagonal entries. Finally, we explore how the operator matrix of right quaternioinic linear operators has the single-valued extension property (abbreviated SVEP) and Bishop’s property.