Projections in an order unit space and orthogonality

math.FA

/ Authors

/ Abstract

We introduce the notion of order projections using the order unit property of a positive element in an order unit space and characterize them in terms of (geometric) orthogonality. We describe order projections of the order unit space obtained by adjoining an order unit to a normed linear space.

Projections in an order unit space and orthogonality

math.FA

/ Authors

Anil Kumar Karn

/ Abstract

We introduce the notion of order projections using the order unit property of a positive element in an order unit space and characterize them in terms of (geometric) orthogonality. We describe order projections of the order unit space obtained by adjoining an order unit to a normed linear space.