Bochnerintegrál
A Bochner integral is a generalization of the Lebesgue integral to functions whose values lie in a Banach space. Developed by Salomon Bochner in the 1930s, it allows for integration of vector-valued functions over a measure space.
The definition of the Bochner integral can be approached in stages, first for simple functions, then for
The key idea is that if a function is measurable and its norm is integrable, then it
The Bochner integral is crucial in various areas of mathematics, including probability theory, functional analysis, and