2023/12/19 by Soumitra Daptari, Fuad Kıttaneh, Daptari, Soumitra +3
Computer Science · Mathematics · #15A60 #47A12 #47A30 #47A63 #Analytic and geometric function theory #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Inequalities and Applications #Matrix Theory and Algorithms
paper · pdf · doi:10.48550/arxiv.2312.12093
openalex publication_date 2023/12/19 · openalex created_date 2023/12/22 · openalex updated_date 2026/07/28
The main goal of this article is to establish several new \mathbbA-numerical radius equalities and inequalities for n× n cross-diagonal, left circulant, skew left circulant operator matrices, where \mathbbA is the n× n diagonal operator matrix whose diagonal entries are positive bounded operator A. Also, we introduce two new matrices called left imaginary circulant operator matrix and left imaginary skew circulant operator matrix and present their \mathbbA-numerical radii. Certain \mathbbA-numerical radii of general n× n operator matrices are obtained. Some special cases of our results lead to the results of earlier works in the literature, which shows that our results are more general. Applications of our results are established through some interesting examples. We also provide a concluding section by posing a problem for future research.