Category:Fredholm Operators

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

Let $U, V$ be vector spaces.

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

$T$ is a Fredholm operator if and only if:

$(1): \quad \map \ker T$ is finite-dimensional

$(2): \quad$ the quotient space $V / \Img T$ is finite-dimensional