Definition:Bounded Subset of Normed Vector Space

Definition
Let $M = \struct {X, \norm {\, \cdot \,}}$ be a normed vector space.

Let $M' = \struct {Y, \norm {\, \cdot \,}_Y}$ be a normed vector subspace of $M$.

Also see

 * Equivalence of Definitions of Bounded Normed Vector Space