Abstract and Applied Analysis
- Abstr. Appl. Anal.
- Volume 2015, Special Issue (2014), Article ID 521214, 5 pages.
Equalities and Inequalities for Norms of Block Imaginary Circulant Operator Matrices
Circulant, block circulant-type matrices and operator norms have become effective tools in solving networked systems. In this paper, the block imaginary circulant operator matrices are discussed. By utilizing the special structure of such matrices, several norm equalities and inequalities are presented. The norm in consideration is the weakly unitarily invariant norm, which satisfies . The usual operator norm and Schatten -norm are included. Furthermore, some special cases and examples are given.
Abstr. Appl. Anal., Volume 2015, Special Issue (2014), Article ID 521214, 5 pages.
First available in Project Euclid: 15 April 2015
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Jiang, Xiaoyu; Hong, Kicheon. Equalities and Inequalities for Norms of Block Imaginary Circulant Operator Matrices. Abstr. Appl. Anal. 2015, Special Issue (2014), Article ID 521214, 5 pages. doi:10.1155/2015/521214. https://projecteuclid.org/euclid.aaa/1429104648