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 Apr 11 comment If a map $C:X\rightarrow U$ maps every weakly convergent sequence into strongly convergent Yes @Ryker, you are right. Apr 10 reviewed Close Solve for n when y=4 Apr 10 reviewed Close When are we allowed to treat differential operators as 'fractions' Apr 10 reviewed Close Find the limit $\lim_{n\to \infty} 2^{\frac{1}{n}}$ Apr 10 reviewed Close A nonmeasurable function such that $|f|$ is measurable, and the preimage of every point is measurable Apr 10 reviewed Close A subset of [0,1] of measure 1 is dense in [0,1] Apr 7 accepted Galerkin method and Schauder basis. Apr 1 comment Galerkin method and Schauder basis. @GiuseppeNegro, I knew Enflo's example, but in my mind, it was not reflexive. Anyway in Triebel book of functions it is proved that most of the classical functions space has a Schauder basis. Apr 1 revised Galerkin method and Schauder basis. added 214 characters in body Apr 1 comment Galerkin method and Schauder basis. You are welcome @GiuseppeNegro. I was really confused by it and I thought that it would be good to share this information. I always thought that the sequence used in the Galerkin method was a Schauder basis, but now it is clear that there is nothing to with such a basis. However, by taking a look in the literature, when one has a Schauder basis, or other basis which are more refined, then it is possible to study some convergence properties of the aproximated solutions. Apr 1 answered Galerkin method and Schauder basis. Mar 31 asked Galerkin method and Schauder basis. Mar 28 comment The eigenvalue for mollified function Is $u_k^\epsilon$ an eigenfunction? If yes, why the super index $\epsilon$? Mar 24 asked A particular Diophantine approximation of $\pi/2$. Mar 21 answered The existence of minimizer in Sobolev space Mar 18 accepted Poincaré's inequality for functions with prescribed boundary Mar 18 comment Poincaré's inequality for functions with prescribed boundary It was just a simple idea and I'm here trying to prove it by plenty of calculations... Mar 18 asked Poincaré's inequality for functions with prescribed boundary Mar 15 awarded Popular Question Mar 14 answered The minimum of two Sobolev function