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