Factorizations of Linear Relations
Dan Popovici, Zoltan Sebestyen

TL;DR
This paper characterizes when linear relations can be factored through other relations, extending classical results and providing new insights into the structure of linear relations.
Contribution
It introduces new conditions for the existence of factorizations of linear relations, generalizing and improving upon previous theorems by Douglas and Sebestyén.
Findings
Characterization of factorizations of linear relations
Extension of Douglas and Sebestyén's results
Conditions for the existence of linear relation operators
Abstract
Given two linear relations and we characterize the existence of a linear relation (operator) such that , respectively These factorizations extend and improve well-known results by R.G. Douglas and Z. Sebesty\'en.
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Taxonomy
TopicsHolomorphic and Operator Theory · Advanced Topics in Algebra · Advanced Algebra and Logic
