Factorizations of Linear Relations

2011/09/05 by Dan Popovici, Popovici, Dan, Zoltán Sebestyén +1 · 2 citations
Computer Science · Mathematics · #Advanced Algebra and Logic #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.1109.0854

openalex publication_date 2011/09/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

Cited by

• Product of nonnegative selfadjoint operators in unbounded settings
• An extension and refinement of the theorems of Douglas and Sebestyén for unbounded operators

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