Topological properties and matrix transformations of certain ordered generalized sequence spaces.

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.

Submeasures and Locally Solid Topologies on Riesz Spaces.

Iwo Labuda (1987)

Mathematische Zeitschrift

Similarity:

Remark On Fatou-Riesz's Theorem

Vojislav G. Avakumović (1955)

Publications de l'Institut Mathématique

Similarity:

Direct limit of matrix order unit spaces

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

Colloquium Mathematicae

Similarity:

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.

Direct limit of matricially Riesz normed spaces.

Ramani, J.V., Karn, Anil K., Yadav, Sunil (2006)

Commentationes Mathematicae Universitatis Carolinae

Similarity: