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Mathematics
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jambo
  • Member for 3 years, 9 months
  • Last seen more than 2 years ago
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question
2
Show that $\{ f^{-1}(E) : E \in σ(S)\} = \sigma \{f^{-1}(E) : E ∈ S\}$.
Dec 18, 2020
question
2
Show that the completion of the Borel $\sigma$-algebra gives the collection of Lebesgue measurable subsets of $\Bbb R$
Dec 18, 2020
question
2
If $f$ is integrable, show that $f(x)$ is finite almost everywhere
Dec 19, 2020
question
2
$\int {\vert {f} \vert}^p d\mu$ = $\sum_{k=1}^\infty {\vert {a_k} \vert}^p$ where $a_k=f(k)$.
Dec 20, 2020
question
0
Let $R$ be a ring and let $a \in R$. Let $n \in N$. Show that if $a^n$ has an inverse, a has an inverse.
Jan 24, 2021