Mathematics Faculty Articles
Positivity of partitioned Hermitian matrices with unitarily invariant norms
Document Type
Article
Publication Date
9-24-2015
Publication Title
Positivity
Keywords
Polar decomposition, Positive semi-definite matrix, Trace norm, Unitarily invariant norm
ISSN
13851292
Volume
19
Issue/No.
3
First Page
439
Last Page
444
Abstract
We give a short proof of a recent result of Drury on the positivity of a (Formula presented.) matrix of the form (Formula presented.) for any rectangular complex (or real) matrices (Formula presented.) so that the multiplication (Formula presented.) is compatible for all (Formula presented.) where (Formula presented.) denotes the trace norm. We then give a complete analysis of the problem when the trace norm is replaced by other unitarily invariant norms.
NSUWorks Citation
Li, Chi Kwong and Zhang, Fuzhen, "Positivity of partitioned Hermitian matrices with unitarily invariant norms" (2015). Mathematics Faculty Articles. 338.
https://nsuworks.nova.edu/math_facarticles/338
DOI
10.1007/s11117-014-0306-4
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