# Bounded

From Maths

## Disambiguation

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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)