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Morphisms of Stonian Cones

Eugen Popa
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Eugen Popa: Universitatea “Al. I. Cuza”, Seminarul Matematic

A chapter in Potential Theory, 1988, pp 271-275 from Springer

Abstract: Abstract The main result of this paper puts forward a class of morphisms of H-cones, possessing image: namely those commuting with arbitrary infimum. Applying this result to the canonical embedding in the bidual, one gets a decomposition of any H-cone In the particular case when the cone has the specific order, this decomposition gives a well-known theorem of Dixmier [1], on the structure of stonian compact spaces.

Keywords: Compact Space; Normal Measure; Specific Order; Injective Morphism; Canonical Morphism (search for similar items in EconPapers)
Date: 1988
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4613-0981-9_35

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DOI: 10.1007/978-1-4613-0981-9_35

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