Zulip Chat Archive

Stream: new members

Topic: Bochner integral


Pietro Lavino (Jun 25 2024 at 00:43):

is the Bochner integral of a function f: \alpha to \R allowed to be equal to infinity?

Sébastien Gouëzel (Jun 25 2024 at 05:27):

No, the Bochner integral is real-valued (or vector-space valued) by definition. There is in mathlib a version of the integral that can take value infinity, but it's for functions taking values in ENNReal (and it's called the Lebesgue integral).


Last updated: May 02 2025 at 03:31 UTC