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Reference.org
Continuous embedding
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<p>In <a href="/facts/Mathematics/pxTouaz4">mathematics</a>, one <a href="/facts/Normed_vector_space/rmDljfyE">normed vector space</a> is said to be continuously embedded in another normed vector space if the <a href="/facts/Inclusion_function/VUFNdaDH">inclusion function</a> between them is <a href="/facts/Continuous_function/sKbl02pB">continuous</a>. In some sense, the two norms are "almost equivalent", even though they are not both defined on the same space. Several of the <a href="/facts/Sobolev_inequality/jxJvCHML">Sobolev embedding theorems</a> are continuous embedding theorems. </p>