Norm equalities and inequalities for three circulant operator matrices |
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Authors: | Zhao Lin Jiang Yun Cheng Qiao Shu Dong Wang |
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Affiliation: | School of Sciences, Linyi University, Linyi 276005, P. R. China |
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Abstract: | In this paper, three new circulant operator matrices, scaled circulant operator matrices, diag-circulant operator matrices and retrocirculant operator matrices, are given respectively. Several norm equalities and inequalities for these operator matrices are proved. We show the special cases for norm equalities and inequalities, such as the usual operator norm and the Schatten p-norm. Pinching type inequality is also given for weakly unitarily invariant norms. These results are closely related to the nice structure of these special operator matrices. Furthermore, some special cases and specific examples are also considered. |
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Keywords: | Operator matrix norm scaled circulant diag-circulant retrocirculant |
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