Two dimensional unital Riesz algebras, their representations and norms

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Abstract

We describe all two dimensional unital Riesz algebras and study representations of them in Riesz algebras of regular operators. Although our results are not complete, we do demonstrate that very varied behaviour can occur even though all these algebras can be given a Banach lattice algebra norm.
Original languageEnglish
Number of pages15
JournalPositivity
Early online date14 Jul 2015
DOIs
Publication statusEarly online date - 14 Jul 2015

Keywords

  • Riesz algebras, representations, norms

ASJC Scopus subject areas

  • Mathematics(all)

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