Partial isometries in an absolute order unit space

2019/12/12 by Karn, Anil Kumar, kumar, Amit
#46L30 #FOS: Mathematics #Functional Analysis (math.FA) #Primary 46B40 #Secondary 46L05

paper · doi:10.48550/arxiv.1912.05792

Abstract

In this paper, we extend the notion of orthogonality to the general elements of an absolute matrix order unit space and relate it to the orthogonality among positive elements. We introduce the notion of a partial isometry in an absolute matrix order unit space. As an application, we describe the comparison of order projections. We also discuss finiteness of order projections.

Related

• Projections in an order unit space and orthogonality
• Isometries of absolute order unit spaces
• Algebraic orthogonality and commuting projections in operator algebras
• Absolute matrix order ideals in absolute matrix order unit spaces
• Partially isometric matrices: a brief and selective survey