Definition:Bounded Sequence/Normed Division Ring/Unbounded

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This page is about sequences in normed division rings which are unbounded . For other uses, see Definition:Unbounded.

Definition

Let $\struct {R, \norm {\, \cdot \,} }$ be a normed division ring.

Let $\sequence {x_n}$ be a sequence in $R$.


$\sequence {x_n}$ is unbounded if and only if it is not bounded.