Jonas Teuwen
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 Jan 2 revised Growth $\beta X\setminus X$ of a Banach space $X$ added 27 characters in body Jan 2 comment Growth $\beta X\setminus X$ of a Banach space $X$ suPset. I do know a little bit of elementary metric space theory. Maybe not that much, but at least that... Jan 2 comment Growth $\beta X\setminus X$ of a Banach space $X$ Ah - I see! But separable spaces are usually not the interesting cases. $L^\infty$? I would be quite surprised if you now tell me all non-separable ones are homeomorphic as well! Jan 2 revised Growth $\beta X\setminus X$ of a Banach space $X$ added 383 characters in body Jan 2 comment Growth $\beta X\setminus X$ of a Banach space $X$ The question is giving a Banach space $X$ with a norm $\|\cdot\|_X$, can we enlarge $X$ to make the enlargement with norm $\|\cdot\|_X$ not complete anymore? Jan 2 comment Growth $\beta X\setminus X$ of a Banach space $X$ But many interesting examples are not separable. Take even a countable tensor product of Hilbert spaces, a bosonic Fock space for instance. Jan 1 awarded Custodian Jan 1 reviewed Close Show $\sum_{n=1}^N e^{i n\theta}.$ is bounded for $0< \theta < 2 \pi$, $\forall N \in \{1,2,…\}$ Jan 1 reviewed Reject What do $\pi$ and $e$ stand for in the normal distribution formula? Jan 1 revised Growth $\beta X\setminus X$ of a Banach space $X$ edited body Jan 1 asked Growth $\beta X\setminus X$ of a Banach space $X$ Jan 1 awarded Nice Question Dec 29 comment Definition of $L^0$ space Yes, indeed. But, needs a bit of work as you need to mention the topology first. 8-). Dec 29 comment Definition of $L^0$ space @Martin: True, I'll modify that. You want to end up with convergence in probability. Dec 28 answered Definition of $L^0$ space Dec 28 revised A question from Stein's book, Singular Integral. added 395 characters in body Dec 27 answered A question from Stein's book, Singular Integral. Dec 24 awarded Popular Question Dec 23 comment Limit of positive sequence $(f_n)$ defined by $f_n(x)^2=\int^x_0 f_{n-1}(t)\mathrm{d}t$ This proof is actually very slick, but grinding out the details (which is done splendidly) requires some tinkering. I guess there are bigger hammers you can hit the convergence with, but this is truly elementary. I like that. +1. Dec 21 comment Is this a dirac delta function? Nice post, shows typical problems with distributions and the order (or even kind of) limits.