Category:Definitions/Invertible Bounded Linear Operators

This category contains definitions related to Invertible Bounded Linear Operators.
Related results can be found in Category:Invertible Bounded Linear Operators.

Normed Vector Space

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.

Inner Product Space

Let $\struct {X, \innerprod \cdot \cdot}$ be an inner product space.

Let $T : X \to X$ be an invertible bounded linear transformation.

We say that $A$ is a bounded linear operator.