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  • 0 posts edited
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  • 82 votes cast
Apr
10
asked About approximation by Haar polynomials
Mar
14
asked About Fourier multipliers
Feb
17
comment Checking if a matrix defines a bounded operator
whz, at $t=0$ we get the harmonnic series, which diverges... T.A.E., that leads us to log(1-z).
Feb
17
comment Checking if a matrix defines a bounded operator
Thanks for the answer, whz! The resulting function would be f(t)=$\displaystyle\sum_{n\in\mathbb{Z}\setminus{0}}\frac{1}{n}e^{int}$. Is it obviously bounded? I'm not sure...
Feb
17
asked Checking if a matrix defines a bounded operator
Nov
19
awarded  Yearling
Oct
29
accepted About the adjoint operator and weak operator topology.
Oct
29
comment About the adjoint operator and weak operator topology.
Thanks a lot again, Matthew. Your explanation was very clear, and I think your example works perfectly to prove the question was false.
Oct
28
comment About the adjoint operator and weak operator topology.
Thanks for your answer, Matthew! Just some doubts: why do you use double adjoints for $S_n$ and $T$, and not simple adjoints as in (2)? And where does it come the weak$^*$ to weak$^*$ continuity of $T^{**}$ (or $T^{*}$)?
Oct
28
revised About the adjoint operator and weak operator topology.
added 9 characters in body
Oct
28
comment About the adjoint operator and weak operator topology.
I just changed the notation now. Do you have in mind some example that could prove the question false?
Oct
28
revised About the adjoint operator and weak operator topology.
edited body
Oct
28
comment About the adjoint operator and weak operator topology.
Yes, you have reason, it can lead to confusion. But to avoid that here, I specificated in which spaces are the elemens in each case.
Oct
28
comment About the adjoint operator and weak operator topology.
Yes, it's the same, it's only notation, I tend to write it reverted.
Oct
28
asked About the adjoint operator and weak operator topology.
Oct
14
comment About measurability for operator-valued functions
Still fighting against this. I think involving non-separable spaces can be useful, but still can't get the desired example. When I find a function which is not type-1 measurable, it always results not being type-2 measurable also...
Oct
13
asked About measurability for operator-valued functions
Jul
2
awarded  Curious
Jul
2
awarded  Inquisitive
May
27
accepted About the Volterra operator and the approximation property