Definition:Degenerate Linear Transformation

Definition

Let $U, V$ be vector spaces over a field $K$.

Let $T: U \to V$ be a linear transformation.

Let $\Img T$ be the image of $T$.

$T$ is degenerate if and only if:

$\Img T$ is finite-dimensional

Sources

• 2002: Peter D. Lax: Functional Analysis: $2.2$: Index of a Linear Map