Sergei Akbarov
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 Dec 10 revised Stone-Weierstrass theorem for holomorphic functions? edited body Dec 9 awarded Nice Question Dec 9 comment Stone-Weierstrass theorem for holomorphic functions? Ah, I see. Maybe... Dec 9 comment Stone-Weierstrass theorem for holomorphic functions? Runge's theorem is about a concrete subalgebra $A$, the algebra of rational functions, but I am asking about an arbitrary subalgebra $A\subseteq{\mathcal O}(M)$. I don't know, maybe there were generalizations... Dec 9 revised Stone-Weierstrass theorem for holomorphic functions? added 1 character in body Dec 9 revised Stone-Weierstrass theorem for holomorphic functions? added 61 characters in body Dec 9 asked Stone-Weierstrass theorem for holomorphic functions? Dec 7 comment Categorical description of dense homomorphisms of topological algebras @Zhen Lin: yes, but in this approach the question arises, what are closed subobjects from the categorical point of view? Dec 7 revised Categorical description of dense homomorphisms of topological algebras deleted 4 characters in body; edited title Dec 6 asked Categorical description of dense homomorphisms of topological algebras Nov 1 awarded Yearling Oct 4 comment Traces of operators in nuclear spaces Ah, yes, thank you. Oct 4 comment Traces of operators in nuclear spaces Something is strange for me here... For a locally convex space $X$ let us denote by $X^{\mathbb N}$ and $X_{\mathbb N}$ the direct product and the locally convex sum of contable copies of $X$. Then I would think that $({\mathbb R}^{\mathbb N})'_{\beta}\otimes_{\pi}{\mathbb R}^{\mathbb N}=({\mathbb R}^{\mathbb N})_{\mathbb N}\ne({\mathbb R}_{\mathbb N})^{\mathbb N}=L_{\beta}({\mathbb R}^{\mathbb N})$. Oct 4 comment Traces of operators in nuclear spaces In the stereotype world, en.wikipedia.org/wiki/Stereotype_space, this equality is not true: ${\mathbb R}_{\mathbb N}\circledast {\mathbb R}^{\mathbb N}\ne {\mathcal L}({\mathbb R}^{\mathbb N})$. Sep 26 comment What are Reinert's reproaches to the Ricardo theory? Your last example with scarcity and real numbers does not convince me, since I believe that there is nothing bad in discussing which phenomena should be reflected in the theory, but I agree that the question is too vague, that's not good. Sep 26 comment What are Reinert's reproaches to the Ricardo theory? Yes, I agree. If there is a possibility, I would prefer this question to be deleted. Sep 26 revised What are Reinert's reproaches to the Ricardo theory? edited body Sep 26 revised What are Reinert's reproaches to the Ricardo theory? added 40 characters in body Sep 26 revised What are Reinert's reproaches to the Ricardo theory? deleted 5 characters in body Sep 26 revised What are Reinert's reproaches to the Ricardo theory? deleted 4 characters in body