Contraction (operator theory)
id:
contraction-operator-theory-318-15737491
title:
Contraction (operator theory)
text:
In operator theory, a bounded operator T: X → Y between normed vector spaces X and Y is said to be a contraction if its operator norm ||T || ≤ 1. This notion is a special case of the concept of a contraction mapping, but every bounded operator becomes a contraction after suitable scaling. The analysis of contractions provides insight into the structure of operators, or a family of operators. The theory of contractions on Hilbert space is largely due to Béla Szőkefalvi-Nagy and Ciprian Foias.
brand slug:
wiki
category slug:
encyclopedia
description:
Bounded operators with sub-unit norm
original url:
https://en.wikipedia.org/wiki/Contraction_(operator_theory)
date created:
date modified:
2024-02-16T15:37:02Z
main entity:
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image:
fields total:
13
integrity:
14