meta user
network profile
| bio | website | |
|---|---|---|
| location | ||
| age | ||
| visits | member for | 1 year, 3 months |
| seen | May 1 at 19:37 | |
| stats | profile views | 69 |
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Feb 9 |
awarded | Yearling |
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Feb 5 |
asked | Terminology: how to call the compact version of an affine space? |
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Jan 29 |
accepted | Essential selfadjointness preserved under unitarily transfomration? |
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Jan 20 |
revised |
Essential selfadjointness preserved under unitarily transfomration? improved notation |
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Jan 20 |
asked | Essential selfadjointness preserved under unitarily transfomration? |
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Nov 13 |
awarded | Enthusiast |
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Oct 30 |
answered | Unbounded operator on $\mathcal{C}([0,1])$ with the norm $L_1$ |
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Oct 27 |
accepted | Bounding $h^{-1}|e^{hy}-1|$ |
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Oct 27 |
comment |
Bounding $h^{-1}|e^{hy}-1|$ In the previous comment I mean $h$ small of course ($h=\frac{1}{100}$)... |
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Oct 27 |
comment |
Bounding $h^{-1}|e^{hy}-1|$ @Mercy. $f_h(x)\leq |x|$ is not true. Take $y=\frac{1}{h^2}$ and $h$ large (say h=100). Note that also $f_h(x)\leq |x|^N$ is not true for any fixed $N\in\mathbb N$. |
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Oct 27 |
asked | Bounding $h^{-1}|e^{hy}-1|$ |
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Oct 24 |
comment |
Smooth function on $\mathbb R$ whose small increments are not controlled by the first derivative at infinity Tanks, this is what I was looking for! |
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Oct 24 |
comment |
Smooth function on $\mathbb R$ whose small increments are not controlled by the first derivative at infinity I accept the other answer because it is bit simpler, but this is interesting anyway, thanks! |
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Oct 24 |
accepted | Smooth function on $\mathbb R$ whose small increments are not controlled by the first derivative at infinity |
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Oct 24 |
comment |
Inner product and infinite sum The series converges in the Hilbert norm, right? Then I agree with Tomás, the question does not depend on wether $H$ is a function space or not. Your argument seems correct to me (you use continuity of the scalar product) and the assumption that $(a_n)$ is square summable is redundant I think. |
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Oct 22 |
revised |
Smooth function on $\mathbb R$ whose small increments are not controlled by the first derivative at infinity added my intuition |
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Oct 22 |
revised |
Smooth function on $\mathbb R$ whose small increments are not controlled by the first derivative at infinity added absolute value for $h$ |
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Oct 22 |
comment |
Smooth function on $\mathbb R$ whose small increments are not controlled by the first derivative at infinity @LukasGeyer and Robert Israel. Thanks for your comments, I edited, hope it is clear now (yes the "sufficiently small" should be uniform in $x$). With oscillating I meant not the function itself, but higher derivatives. Anyway I cancelled the comment on the oscillations, maybe it is only confusing. |
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Oct 22 |
revised |
Smooth function on $\mathbb R$ whose small increments are not controlled by the first derivative at infinity deleted 52 characters in body |
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Oct 22 |
comment |
Smooth function on $\mathbb R$ whose small increments are not controlled by the first derivative at infinity ops, I forgot to write that I want also the first derivative bounded away from zero..see edit. sorry. |
