Douglas' lemma
id:
douglas-lemma-248-9717385
title:
Douglas' lemma
text:
In operator theory, an area of mathematics, Douglas' lemma relates factorization, range inclusion, and majorization of Hilbert space operators. It is generally attributed to Ronald G. Douglas, although Douglas acknowledges that aspects of the result may already have been known. The statement of the result is as follows: Theorem: If A and B are bounded operators on a Hilbert space H , the following are equivalent: range A ⊆ range B A A ∗ ≤ λ 2 B B ∗ for some λ ≥ 0 There exists a bounded opera
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encyclopedia
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original url:
https://en.wikipedia.org/wiki/Douglas%27_lemma
date created:
date modified:
2023-06-21T16:20:07Z
main entity:
{"identifier":"Q5301141","url":"https://www.wikidata.org/entity/Q5301141"}
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