Category:Dual Operators

This category contains results about Dual Operators.
Definitions specific to this category can be found in Definitions/Dual Operators.

Let $X$ and $Y$ be normed vector spaces.

Let $T : X \to Y$ be a bounded linear transformation.

Let $X^\ast$ and $Y^\ast$ be the normed duals of $X$ and $Y$ respectively.

We define the dual operator $T^\ast : Y^\ast \to X^\ast$ by:

$T^\ast f = f \circ T$

for each $f \in X^\ast$.