$C$-spectral norm inequalities between operator matrices and their entries

Document Type : Research Paper

Authors

Department of Mathematics, Payame Noor University (PNU), Tehran, Iran.

10.22072/wala.2023.1989702.1414

Abstract

In this paper, the notion of $C-$spectral norm is introduced for operators; it was defined and studied for matrices before. Here, some $C-$spectral norm inequalities between operator matrices and their operator entries, for $2\times 2$ and $n \times n$ operator matrices, are studied. Also, some $C-$spectral norm equalities between operator matrices are brought.

Keywords

References

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      Multilinear Algebra,16 (1984), 215-237.
[3] W.-Y. Man, $C-$numerical ranges and normality of matrices, Linear Multilinear Algebra, 32(3-4) (1992), 237-247.
[4] R. Meise and D. Vogt, Introduction to Functional Analysis, Oxford University Press, 1977.
[5] J.v. Neumann, Some matrix-inequalities and metrization of matrix space, Tomsk Univ. Rev., 1 (1937), 286--300.
Wavelet and Linear Algebra
Volume 10, Issue 2
Autumn- Winter
2023
Pages 39-50

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