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Ceph

Apparently, this user prefers to keep an air of mystery about them.

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  • Member for 5 years, 10 months
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  • Last seen Feb 16 at 19:20

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4 Let $\lVert\cdot\rVert_1,\lVert\cdot\rVert_2$ be norms on vector space $X$. Prove that they generate the same topology iff they are equivalent. [duplicate] Jun 15 '16
4 Probability: A deck split into piles Jun 2 '16
4 For $f\in L^2(\mathbb R)$, is it true that $\lim_{n\to\infty} \int_{n}^{n+1}f(x)dx=0$? Aug 18 '16
3 Let $f_n\in\mathcal C(0,1)$, $f_n\xrightarrow{\mathrm{unif}}f$ on every compact $K\subseteq(0,1)$. Is $f$ uniformly continuous on $(0,1)$? May 31 '16
3 Show that an elt. of the center of a group ring must be a sum of multiples of the group's conjugacy classes Nov 15 '17
3 Show that $A$ and $A^C$ are both dense in $(\ell^2,\lVert \cdot \rVert_2)$, where $A=\{x\in\ell_2:\sum_{k=1}^\infty x_k\neq0\}$. May 5 '16
3 Is the 2-norm distance from $\ell^1$ to the harmonic sequence 0? Aug 2 '16
3 How to show that $\mu$ is $\sigma$-finite Aug 8 '16
3 How to show that this bounded linear operator is onto? Aug 11 '16
3 Show that $a_n (X_n-c) \stackrel{d}{\to} F$ implies $X_n \stackrel{\mathbb{P}}{\to} c$ for any sequence $a_n \to \infty$ Sep 7 '17
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