Cones in the space of block-matrices

Ando Tsuyoshi: Cones in the space of block-matrices. In: Acta scientiarum mathematicarum, (79) 1-2. pp. 333-345. (2013)

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Abstract

In the space Mm (Mn ) ofmxm block-matrices with entries in Mn three natural cones related to positivity are introduced. In this paper several known results related to positivity: dilation theorem, truncated moment theorems and the Fejer-Riesz theorem on factorization of positive polynomials, are applied to derive interrelationships among those three cones. At the end of the paper, some form of matrix Schwarz inequalities is presented. The paper is largely of expository character.

Item Type:	Article
Journal or Publication Title:	Acta scientiarum mathematicarum
Date:	2013
Volume:	79
Number:	1-2
ISSN:	0001-6969
Page Range:	pp. 333-345
Language:	English
Contributors:	Contribution Name UNSPECIFIED Kérchy László
Publisher:	Bolyai Institute, University of Szeged
Place of Publication:	Szeged
Official URL:	http://www.acta.hu
Related URLs:	http://acta.bibl.u-szeged.hu/38688/
Uncontrolled Keywords:	Szőkefalvi-Nagy Béla, Matematika
Additional Information:	Bibliogr.: p. 344-345. ; összefoglalás angol nyelven
Subjects:	01. Natural sciences 01. Natural sciences > 01.01. Mathematics
Date Deposited:	2016. Oct. 17. 10:38
Last Modified:	2026. Mar. 05. 15:36
URI:	http://acta.bibl.u-szeged.hu/id/eprint/30877

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