On a preorder relation for contractions

Timotin Dan: On a preorder relation for contractions. In: Acta scientiarum mathematicarum, (82) 3-4. pp. 629-640. (2016)

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Abstract

An order relation for contractions on a Hilbert space can be introduced by stating that A + B if and only if A is unitarily equivalent to the restriction of B to an invariant subspace. We discuss the equivalence classes associated to this relation, and identify cases in which they coincide with classes of unitary equivalence. The results extend those for completely nonunitary partial isometries obtained by Garcia, Martin, and Ross.

Item Type:	Article
Journal or Publication Title:	Acta scientiarum mathematicarum
Date:	2016
Volume:	82
Number:	3-4
ISBN:	0001-6969
Page Range:	pp. 629-640
Language:	English
Publisher:	Bolyai Institute, University of Szeged
Place of Publication:	Szeged
Official URL:	http://www.acta.hu
Related URLs:	http://acta.bibl.u-szeged.hu/45435/
DOI:	10.14232/actasm-015-068-5
Uncontrolled Keywords:	Hilbert tér, Ekvivalencia, Matematika
Additional Information:	Bibliogr.: 640. p. ; összefoglalás angol nyelven
Subjects:	01. Natural sciences 01. Natural sciences > 01.01. Mathematics
Date Deposited:	2017. Apr. 07. 11:07
Last Modified:	2026. Feb. 24. 10:29
URI:	http://acta.bibl.u-szeged.hu/id/eprint/46330

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