Fredholm operator (source code)

= Fredholm operator
{wiki=Fredholm_operator}

A Fredholm operator is a specific type of bounded linear operator that arises in functional analysis, particularly in the study of integral and differential equations. It is defined on a Hilbert space (or a Banach space) and has certain important characteristics related to its kernel, range, and index. \#\#\# Definition: Let \\( X \\) and \\( Y \\) be Banach spaces, and let \\( T: X \\to Y \\) be a bounded linear operator.