View source for Quasi-normed space

A [[Linear space|linear space]] on which a [[Quasi-norm|quasi-norm]] is given. An example of a quasi-normed space that is not normed is the [[Lebesgue space|Lebesgue space]] <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/q/q076/q076620/q0766201.png" /> with <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/q/q076/q076620/q0766202.png" />, in which a quasi-norm is defined by the expression

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====Comments====
The quasi-normed topological vector spaces are precisely the locally bounded topological vector spaces, cf. [[Quasi-norm|Quasi-norm]].