English

On one-sided star partial orders on a Rickart *-ring

Rings and Algebras 2014-10-20 v1

Abstract

We compare some recent approaches to extending the notions of left- and right-star partial order, introduced for complex matrices in early 90-ies, to bounded linear Hilbert space operators and to certain *-rings, and discuss in more detail a version of right-star partial order on a Rickart *-ring R. Regularity of R is not presumed.

Cite

@article{arxiv.1410.4693,
  title  = {On one-sided star partial orders on a Rickart *-ring},
  author = {Janis Cirulis},
  journal= {arXiv preprint arXiv:1410.4693},
  year   = {2014}
}

Comments

8 pages, no figures, no tables

R2 v1 2026-06-22T06:27:06.836Z