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Results tagged with measurable-functions
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user 50614
5
votes
Are measurable homomorphisms $ (\Bbb{C},+) \to (\Bbb{C},+) $ or $ (\Bbb{C},+) \to (\Bbb{C},*...
I just thought that I should mention a result that considerably strengthens André Weil’s result mentioned by François in his answer above.
Adam Kleppner, in his 1989 paper Measurable Homomorphisms of …
- 1,396
4
votes
1
answer
794
views
The Notion of Strong Measurability for Separable Banach Spaces
Let $ (X,\Sigma,\mu) $ be a measure space and $ B $ a Banach space. According to my understanding, a function $ f: X \to B $ is said to be strongly $ \mu $-measurable if and only if it is the almost-e …
- 1,396
6
votes
0
answers
361
views
Approximating a measurable function from a second-countable, locally compact Hausdorff group...
Let $ G $ be a second-countable, locally compact Hausdorff group and $ B $ a separable Banach space.
We say that a function $ f: G \to B $ is Bochner-measurable if and only if it is the everywhere po …
- 1,396