Difference between revisions of "Bounded"

Revision as of 16:20, 26 February 2016

Disambiguation

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Bounded may refer to:

• Bounded (linear map) - Given two normed spaces, $(X,\Vert\cdot\Vert_X)$ and $(Y,\Vert\cdot\Vert_Y)$ and a linear map $L:X\rightarrow Y$ we say that $L$ is bounded if:
  • $\exists A>0\ \forall x\in X[\Vert L(x)\Vert_Y\le A\Vert x\Vert_X]$
• Bounded (set)