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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
1

Representation Theory of Partially Ordered Vector Spaces

Graves, William Henson 09 1900 (has links)
The major results of this work concern perfect ideals of ordered vector spaces, and a representation theory for ordered vector spaces. Perfect ideals are characterized by the property that their annihilators in the order dual are ideals. We obtain a number of conditions for an ordered vector space which are equivalent to the intersection of the set of perfect maximal ideals being 0. We also obtain conditions which permit an ordered vector space to be represented as a subspace of the sections of a vector bundle. This generalizes the representation theory for odered vector spaces with unit. / Thesis / Doctor of Philosophy (PhD)

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