Factorizations of Linear Relations

Dan Popovici; Zoltan Sebestyen

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arXiv · 1109.0854

Factorizations of Linear Relations

Dan Popovici·Zoltan Sebestyen

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Abstract

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

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Dan Popovici, Zoltan Sebestyen. 2011-09-05. Factorizations of Linear Relations. https://arxiv.org/abs/1109.0854

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