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DeltaEpsilon
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5
Norm of elementary tensors in projective tensor product of Banach spaces
Jul 8, 2023
5
Is $f(X)=X^7+6X^5+5X^2+9$ irreducible over $\Bbb{Z}$?
Sep 4, 2022
5
Prove that $\Bbb{R}^2/\Bbb{Z}^2\approx S^1\times S^1$
Jun 1, 2021
4
Let $T\in M_m(\mathbb{C})$ with $r(T)=1$. Is it true that $\lim \frac{\lVert T^{n+1}\rVert}{\lVert T^n\rVert}=1$?
Sep 11, 2023
3
Every finite rank operator on a Hilbert space can be written $\sum_{j=1}^n s_j|u_j\rangle\langle v_j|$ with $\{u_j\},\{v_j\}$ orthonormal
May 19, 2023
3
Let $\{\phi_n\}$ be an orthonormal set in $L^2(\mu)$, $g\in L^2(\mu)$ such that $|\phi_n(x)|\le |g(x)|$ and $\sum a_n\phi_n(x)$ converges a.e.
Dec 6, 2022
3
Let $f_n:(0,1)\to\Bbb{R}$ be a sequence of continuous functions such that $\forall$ cauchy sequence $\{x_n\}$ in $(0,1)$, $f_n(x_n)\to 0$.
Jun 20, 2022
3
Proof of Brouwer's fixed point theorem without direct computation
Nov 8, 2022
3
$X$ be a connected metric space and $F$ be subring of $C(X,\Bbb{R})$ which is a field. Then every element of $F$ is constant. (T/F)
Dec 13, 2021
2
How to compute the numerical radius of the right shift operator?
Mar 5