Continuous embedding: Difference between revisions

Revision as of 22:12, 3 October 2006

Revision as of 00:15, 13 October 2006

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{{uncat|October 2006}}

In [[mathematics]], one [[normed vector space]] is said to be '''continuously embedded''' in another normed vector space if the [[inclusion function]] between them is [[continuous function|continuous]]. In some sense, the two norms are "almost equivalent", even though they are not both defined on the same space. Several of the [[Sobolev inequality|Sobolev embedding theorems]] are continuous embedding theorems.