ZERO-DILATION INDICES OF KMS MATRICES

Title:	ZERO-DILATION INDICES OF KMS MATRICES
Authors:	Gau, Hwa-Long Wu, Pei Yuan 應用數學系 Department of Applied Mathematics
Keywords:	Zero-dilation index;KMS matrix;higher-rank numerical range;S-n-matrix;S-n(-1)-matrix
Issue Date:	2014
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 the KMS matrix [GRAPHICS] . by using the Li-Sze characterization of higher-rank numerical ranges of a finite matrix.
URI:	http://hdl.handle.net/11536/24066
ISSN:	2008-8752
Journal:	ANNALS OF FUNCTIONAL ANALYSIS
Volume:	5
Issue:	1
Begin Page:	30
End Page:	35
Appears in Collections:	Articles