Jonas Teuwen
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 Apr30 awarded Informed Apr12 awarded Nice Answer Mar30 awarded Good Answer Jan22 answered Polynomial and spectrum of a Operator . Jan14 awarded Nice Question Jan8 accepted On the regularity of the Laplace equations and tensor products and such Jan8 comment On the regularity of the Laplace equations and tensor products and such Alright - thanks. Indeed, this is what I figured since I asked the question. But then I was wondering 'how bad' this could be - as in a splitting in a good and a bad part. Different question so I'll accept this. Jan8 comment On the regularity of the Laplace equations and tensor products and such Alright, I seem to be totally misunderstanding things, so I have written how I think it is (but first: lunch). (I'll look at your edit later). Jan8 revised On the regularity of the Laplace equations and tensor products and such added 1484 characters in body Jan8 comment On the regularity of the Laplace equations and tensor products and such In any case, I have rewritten it slightly. I do not want people to assume I am that stupid that I think tensor spaces are that trivial. Jan8 revised On the regularity of the Laplace equations and tensor products and such deleted 35 characters in body Jan8 comment On the regularity of the Laplace equations and tensor products and such @WillieWong I will rewrite it if you still think it is a 'logical fallacy' after my comment! Jan8 comment On the regularity of the Laplace equations and tensor products and such Oops - logical fallacy is for me more like a error in verbal reasoning -. Anyway, I meant to say that it is a dense set in the tensor product. That is, a Schauder basis. Is that not true? When we separate we can find sequences of basis functions and then we construct the basis for the solution space as a Schauder basis. Jan4 revised Does there exist a diagonal dominance concept for integral kernels? added 735 characters in body Jan4 comment Does there exist a diagonal dominance concept for integral kernels? On every inner product space every self-adjoint operator $P$is positive if for all non-zero $u$ we have $\langle Pu, u \rangle > 0$. Jan4 comment Does there exist a diagonal dominance concept for integral kernels? @SimenK. But, I do not see understand why my decomposition would not be the way to proceed. Self-adjointness amounts to real eigenvalues and so on. Jan3 answered Does there exist a diagonal dominance concept for integral kernels? Jan3 comment Does there exist a diagonal dominance concept for integral kernels? So, is the question about the positivity of Hilbert-Schmidt operators? Hit it with the spectral theorem to decouple your kernel in that case. Jan3 comment Growth $\beta X\setminus X$ of a Banach space $X$ Yes, thank you for the link. I had something like that in mind - Topologically dualize a test function space and sqeeuze the Banach space in between. Jan3 answered Fundamental solutions of PDEs