quasinorm
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In linear algebra, functional analysis and related areas of mathematics, a quasinorm is similar to a norm in that it satisfies the norm axioms, except that the triangle inequality is replaced by \|x + y\| \leq K(\|x\| + \|y\|) for some K > 1.
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Encyclopedic overview
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- Definition
- Topology
- Related definitions
- Characterizations
- Examples
- See also
- References
In linear algebra, functional analysis and related areas of mathematics, a quasinorm is similar to a norm in that it satisfies the norm axioms, except that the triangle inequality is replaced by \|x + y\| \leq K(\|x\| + \|y\|) for some K > 1.
==Definition==
Excerpted from Wikipedia’s “quasinorm” article, available under the CC BY-SA 4.0 licence.