English

Partial isometries in an absolute order unit space

Functional Analysis 2019-12-13 v1

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.

Keywords

Cite

@article{arxiv.1912.05792,
  title  = {Partial isometries in an absolute order unit space},
  author = {Anil Kumar Karn and Amit kumar},
  journal= {arXiv preprint arXiv:1912.05792},
  year   = {2019}
}

Comments

19 pages

R2 v1 2026-06-23T12:43:43.437Z