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Continuous embedding

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. In some sense, the two norms are "almost equivalent", even though they are not both defined on the same space. Several of the Sobolev embedding theorems are continuous embedding theorems.

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Continuous embedding

Nodes22
Edges21
Triples8
Avg. degree1.91
Density0.090909
Components1

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Continuous embedding

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related to Examples · 8
Continuous embedding → An, Euclidean, Kondrachov, Lipschitz, R2, Rellich, Rn, Set

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Important terminology

continuous spaces embedding normed vector continuously embedded space said inclusion function two norms examples also mathematics use example infinite-dimensional one

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SubjectPredicateObjectConfidenceSrc
Continuous embeddingrelated to ExamplesR20.60section
Continuous embeddingrelated to ExamplesEuclidean0.60section
Continuous embeddingrelated to ExamplesAn0.60section
Continuous embeddingrelated to ExamplesRellich0.60section
Continuous embeddingrelated to ExamplesKondrachov0.60section
Continuous embeddingrelated to ExamplesRn0.60section
Continuous embeddingrelated to ExamplesLipschitz0.60section
Continuous embeddingrelated to ExamplesSet0.60section

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