The Generalized Theory of Perfect Riesz Spaces I.
David F. Findley (1973)
Collectanea Mathematica
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Displaying similar documents to “Topological properties and matrix transformations of certain ordered generalized sequence spaces.”
The Generalized Theory of Perfect Riesz Spaces I.
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Exhaustive and uniformly exhaustive elements are studied in the setting of locally solid topological Riesz spaces with the principal projection property. We study the structure of the order interval [0,x] when x is an exhaustive element and the structure of the solid hull of a set of uniformly exhaustive elements.
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The notion of ℱ-approximate order unit norm for ordered ℱ-bimodules is introduced and characterized in terms of order-theoretic and geometric concepts. Using this notion, we characterize the inductive limit of matrix order unit spaces.
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Commentationes Mathematicae Universitatis Carolinae
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