On the commutant of the ideal centre
Abstract
The centre 
of a Riesz space E is the collection of all operators T on E that satisfy 
for some 
, where I is the identity operator. We study the commutant 
of in the order bounded operators on E. If E is a Riesz space with topologically full centre, we identify with the orthomorphisms of E.
of a Riesz space E is the collection of all operators T on E that satisfy for some , where I is the identity operator. We study the commutant of in the order bounded operators on E. If E is a Riesz space with topologically full centre, we identify with the orthomorphisms of E.DOI Code:
10.1285/i15900932v18n1p63
Keywords:
Riesz space; Ideal center; Commutant; Orthomorphisms
Classification:
46A40
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