Compression (functional analysis)
id:
compression-functional-analysis-257-4799790
title:
Compression (functional analysis)
text:
In functional analysis, the compression of a linear operator T on a Hilbert space to a subspace K is the operator where P K : H → K is the orthogonal projection onto K. This is a natural way to obtain an operator on K from an operator on the whole Hilbert space. If K is an invariant subspace for T, then the compression of T to K is the restricted operator K→K sending k to Tk. More generally, for a linear operator T on a Hilbert space H and an isometry V on a subspace W of H , define the compress
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wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Compression_(functional_analysis)
date created:
date modified:
2020-08-16T12:48:56Z
main entity:
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fields total:
13
integrity:
13