## Abstract and Applied Analysis

### Equalities and Inequalities for Norms of Block Imaginary Circulant Operator Matrices

#### Abstract

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 $\tau$ in consideration is the weakly unitarily invariant norm, which satisfies $\tau (\mathcal{A})=\tau (U\mathcal{A}V)$. The usual operator norm and Schatten $p$-norm are included. Furthermore, some special cases and examples are given.

#### Article information

Source
Abstr. Appl. Anal., Volume 2015, Special Issue (2014), Article ID 521214, 5 pages.

Dates
First available in Project Euclid: 15 April 2015

https://projecteuclid.org/euclid.aaa/1429104648

Digital Object Identifier
doi:10.1155/2015/521214

Mathematical Reviews number (MathSciNet)
MR3326640

Zentralblatt MATH identifier
1383.15016

#### Citation

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

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