Zero-dilation Indices of KMS Matrices

Hwa-Long Gau; Pei Yuan Wu

doi:10.15352/afa/1391614566

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Home > Journals > Ann. Funct. Anal. > Volume 5 > Issue 1 > Article

2014 Zero-dilation Indices of KMS Matrices

Hwa-Long Gau, Pei Yuan Wu

Ann. Funct. Anal. 5(1): 30-35 (2014). DOI: 10.15352/afa/1391614566

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Abstract

The zero-dilation index $d(A)$ of an $n$-by-$n$ complex matrix $A$ is the maximum size of the zero matrix which can be dilated to $A$. In this paper, we determine the value of this index for a certain KMS matrix by using the Li--Sze characterization of higher-rank numerical ranges of a finite matrix.