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 Apr10 asked About approximation by Haar polynomials Mar14 asked About Fourier multipliers Feb17 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). Feb17 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... Feb17 asked Checking if a matrix defines a bounded operator Nov19 awarded Yearling Oct29 accepted About the adjoint operator and weak operator topology. Oct29 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. Oct28 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 $T^{*}$)? Oct28 revised About the adjoint operator and weak operator topology. added 9 characters in body Oct28 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? Oct28 revised About the adjoint operator and weak operator topology. edited body Oct28 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. Oct28 comment About the adjoint operator and weak operator topology. Yes, it's the same, it's only notation, I tend to write it reverted. Oct28 asked About the adjoint operator and weak operator topology. Oct14 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... Oct13 asked About measurability for operator-valued functions Jul2 awarded Curious Jul2 awarded Inquisitive May27 accepted About the Volterra operator and the approximation property