Displaying similar documents to “Topological properties and matrix transformations of certain ordered generalized sequence spaces.”

Exhaustivity in Topological Riesz Spaces with the Principal Projection Property

Kimberly Muller (2006)

Bulletin of the Polish Academy of Sciences. Mathematics

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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.

Direct limit of matrix order unit spaces

J. V. Ramani, Anil K. Karn, Sunil Yadav (2008)

Colloquium Mathematicae

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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.