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Results tagged with sequences-and-series
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user 99469
for questions about sequences and series, e.g. convergence, closed form expressions, etc. Note that there is a different tag for spectral sequences, and also note that MathOverflow is not for homework. Please consider consulting the online encyclopedia for integer sequences, if you are trying to identify a given sequence that you have found in your research.
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How to construct this sequence that converges a.e. in product measure and that has a very pa...
Below we use Bochner measurability and Bochner integral. Let
$(X, \mathcal A, \mu)$ and $(Y, \mathcal B, \nu)$ be complete $\sigma$-finite measure spaces,
$(E, | \cdot |)$ a Banach space,
$S (X)$ the …
- 825
1
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How to construct this sequence that converges a.e. in product measure and that has a very pa...
First, we prove that for all $f \in S(X\times Y)$ and $\varepsilon >0$. There is $f_\varepsilon \in S(X\times Y)$ such that $g$ satisfies $(*)$ and that $\lambda (A) \le \varepsilon$ where $A := \{f …
- 825