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:<math>\| x \|_{Y} \leq C \| x \|_{X}</math>
for every ''x'' in ''X'', then ''X'' is said to be '''continuously embedded''' in ''Y''. Some authors use the hooked arrow “↪” to denote a continuous embedding, i.e. “''X'' ↪ ''Y''” means “''X'' and ''Y'' are normed spaces with ''X'' continuously embedded in ''Y''”. This is a consistent use of notation from the point of view of the [[category of topological vector spaces]], in which the [[morphism]]s (“arrows”) are the [[continuous linear map]]s.
==Examples==
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