English

Factorizations of Linear Relations

Functional Analysis 2011-09-06 v1

Abstract

Given two linear relations AA and BB we characterize the existence of a linear relation (operator) CC such that ABCA\subseteq BC, respectively ACB.A\subseteq CB. These factorizations extend and improve well-known results by R.G. Douglas and Z. Sebesty\'en.

Cite

@article{arxiv.1109.0854,
  title  = {Factorizations of Linear Relations},
  author = {Dan Popovici and Zoltan Sebestyen},
  journal= {arXiv preprint arXiv:1109.0854},
  year   = {2011}
}
R2 v1 2026-06-21T18:59:45.447Z