摘要： 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 [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] by using the Li-Sze characterization of higher-rank numerical ranges of a finite matrix. Key words and phrases. Zero-dilation index, KMS matrix, higher-rank numerical range, [S.sub.n] -matrix, [S.sup.-1.sub.n] -matrix. 出版者： Springer 出版日期： 2014-01-01 出處： Ann. Funct. Anal, 2014-01, Vol.5 (1), p.30-35 版權： COPYRIGHT 2014 Springer 版權： Copyright 2014 Tusi Mathematical Research Group 識別號： ISSN: 2008-8752 識別號： EISSN: 2008-8752 識別號： DOI: 10.15352/afa/1391614566
