Maximal dominated operator semigroups

descriptionPublicationkeyboard_double_arrow_right Article 15 Mar 2002 English Publisher:Springer Science and Business Media LLCJournal:Semigroup Forum, volume 64, pages 376-390 (issn: 0037-1912, eissn: 1432-2137,

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Authors: Drnovšek, Roman; Omladič, Matjaž;

doi: 10.1007/s002330010123

Maximal dominated operator semigroups

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Abstract

The authors study semigroups of operators on vector spaces: ``For any maximal semigroup \({\mathcal M}\) dominated by a certain pair of homogeneous functions there is an operator quasinorm for which \({\mathcal M}\) is exactly the semigroup of contractions in this quasinorm. Applications to Riesz spaces are given. In particular, maximal semigroups of matrices dominated by a given positive matrix are characterized.''

Related Organizations

University of Ljubljana
Slovenia

Keywords

contractions, Groups and semigroups of linear operators, Positive linear operators and order-bounded operators, Linear operators on ordered spaces, Riesz spaces, semigroups of operators, domination

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