Continuous linear extension
id:
continuous-linear-extension-317-10660420
title:
Continuous linear extension
text:
In functional analysis, it is often convenient to define a linear transformation on a complete, normed vector space X by first defining a linear transformation L on a dense subset of X and then continuously extending L to the whole space via the theorem below. The resulting extension remains linear and bounded, and is thus continuous, which makes it a continuous linear extension. This procedure is known as continuous linear extension.
brand slug:
wiki
category slug:
encyclopedia
description:
Mathematical method in functional analysis
original url:
https://en.wikipedia.org/wiki/Continuous_linear_extension
date created:
date modified:
2023-01-28T23:44:24Z
main entity:
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image:
fields total:
13
integrity:
14