Bochner space
= Bochner space
{wiki=Bochner_space}
A Bochner space, often denoted as \\( L^p(\\Omega; X) \\), is a type of function space that generalizes the classical Lebesgue spaces to function spaces that take values in a Banach space \\( X \\). The concept is particularly useful in functional analysis and probability theory, as it allows for the integration of vector-valued functions.