Commit 2024-09-19 20:54 f0308a5a
View on Github →feat: separable measure and sufficient condition for Lp spaces to be second-countable (#12519)
Define the notion of measure-dense family in a measure space, and the notion of separable measure. Prove that if a measure is separable and E is a second-countable NormedAddCommGroup
, then the corresponding Lp space is second-countable. True in particular when the measurable space is countably generated and the measure is s-finite.