Definition:Invertible Bounded Linear Operator/Normed Vector Space
< Definition:Invertible Bounded Linear Operator(Redirected from Definition:Invertible Bounded Linear Operator on Normed Vector Space)
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Definition
Let $\struct {X, \norm \cdot}$ be a normed vector space.
Let $T : X \to X$ be an invertible bounded linear transformation.
We say that $A$ is a bounded linear operator.