Bounded

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)