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4
votes
0answers
127 views
+50

Approximating a measurable function from a second-countable, locally compact Hausdorff group to a separable Banach space

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 ...
6
votes
0answers
233 views
+50

Proving that the kernel of this matrix is of dimension 2

Using a computational software program, I found that the kernel of the following matrix is of dimension 2 but I haven't managed to prove it: \begin{equation} \text{for almost all } t_1>0,\quad ...