Difference between revisions of "Bounded"
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* [[Bounded (sequence)]] | * [[Bounded (sequence)]] | ||
* [[Bounded (set)]] | * [[Bounded (set)]] | ||
| + | ===Related terms=== | ||
| + | * [[Totally bounded (metric space)]] | ||
{{Definition|Topology|Linear Algebra|Functional Analysis|Metric Space}} | {{Definition|Topology|Linear Algebra|Functional Analysis|Metric Space}} | ||
Latest revision as of 19:44, 27 May 2016
Disambiguation
This page lists articles associated with the same title.
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Bounded may refer to:
- Bounded (linear map) - Given two normed spaces, [ilmath](X,\Vert\cdot\Vert_X)[/ilmath] and [ilmath](Y,\Vert\cdot\Vert_Y)[/ilmath] and a linear map [ilmath]L:X\rightarrow Y[/ilmath] we say that [ilmath]L[/ilmath] is bounded if:
- [ilmath]\exists A>0\ \forall x\in X[\Vert L(x)\Vert_Y\le A\Vert x\Vert_X][/ilmath]
- Bounded (ordering)
- Bounded (sequence)
- Bounded (set)
