Zero-dilation indices of KMS matrices

Hwa Long Gau, Pei Yuan Wu

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


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 the KMS matrix by using the Li-Sze characterization of higher-rank numerical ranges of a finite matrix.

Original languageEnglish
Pages (from-to)30-35
Number of pages6
JournalAnnals of Functional Analysis
Issue number1
StatePublished - 2014


  • Higher-rank numerical range
  • KMS matrix
  • S-matrix
  • S-matrix
  • Zero-dilation index


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