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- Title
Norm equalities and inequalities for three circulant operator matrices.
- Authors
Jiang, Zhao; Qiao, Yun; Wang, Shu
- 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.
- Subjects
CIRCULANT matrices; MATHEMATICAL inequalities; MATRIX norms; OPERATOR algebras; MATHEMATICAL analysis; EQUALITY; MATHEMATICAL models
- Publication
Acta Mathematica Sinica, 2017, Vol 33, Issue 4, p571
- ISSN
1439-8516
- Publication type
Article
- DOI
10.1007/s10114-016-5607-z