Projections in an order unit space and orthogonality

2024/10/10 by Anil Kumar Karn, Karn, Anil Kumar
Computer Science · Mathematics · #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Mathematical Inequalities and Applications #Matrix Theory and Algorithms #Primary: 46B40 #Secondary: 46B20

paper · pdf · doi:10.48550/arxiv.2410.07623

openalex publication_date 2024/10/10 · openalex created_date 2024/10/13 · openalex updated_date 2026/07/28

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.

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