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May
28
comment Non-Scientific questions solved by mathematics
"Mathematics cannot prove anything about the world: it can only prove things about models of the world" - sounds like "penicillin doesn't help people, it only kills microbes". Is there a way to prove something about the world, other than suggesting a model? And this example about traders is not convincing: the theories of market are not axiomatized yet. So they do not have logical fundament. As a corollary, there is nothing strange that "specialists" there abuse what they present as "logical reasoning" when making decisions. This is the level of alchemy in comparison with modern chemistry.
May
27
awarded  Critic
May
26
comment When do weak and original topology coincide?
This is too technical, in my opinion. For complete locally convex spaces having weak topology is equivalent to being isomorphic to ${\mathbb K}^{\mathfrak m}$, where $\mathbb K$ is the field and $\mathfrak m$ a cardinal number - see details here: mathoverflow.net/questions/156540/….
May
26
comment Characterization of the finite-dimensional $l_\infty$, $l_1$, $l_p$ up to a linear isometry
Initially I thought that the geometric properties of the unit ball (extreme points, facets, etc.) must give enough information. But as far as I understand, only for the finite-dimensional case and only for $p\in\{1,\infty\}$. Anyway, the question is open, mathoverflow.net/questions/168095/….
May
25
revised Characterization of the finite-dimensional $l_\infty$, $l_1$, $l_p$ up to a linear isometry
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May
24
asked Characterization of the finite-dimensional $l_\infty$, $l_1$, $l_p$ up to a linear isometry
May
18
revised Can a continuous function on a compact group $G$ be interpreted as the sum in $C(G)$ of its Fourier series?
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May
18
revised Can a continuous function on a compact group $G$ be interpreted as the sum in $C(G)$ of its Fourier series?
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May
18
asked Can a continuous function on a compact group $G$ be interpreted as the sum in $C(G)$ of its Fourier series?
Jan
19
awarded  Yearling
Nov
4
comment Reading about monoidal functors
Martin, look at this: search.rsl.ru/ru and libserv.mi.ras.ru/book.asp. These are two main libraries for mathematicians in Moscow (the Russian State Library, and the library of the Mathematical Institute). They don't contain the first two books in your list. The third and the fourth books are available (the 3rd is in the net and the 4th was published in Russian), but they don't contain this result. That was actually why I asked this question.
Nov
3
comment Reading about monoidal functors
Martin, where do they mention this fact (that a monoid is turned into a monoid)?
Nov
3
asked Reading about monoidal functors
Aug
15
comment Properties of $\bigcap_{p > 1} \ell_p$
It's strange for me that this innocent question about the intersection of $\ell_p$ generated so deep discussion. :)
Aug
14
comment Properties of $\bigcap_{p > 1} \ell_p$
Perhaps, it is easier to see this if you replace the sequence by the function $s(p)=||x||_{\ell_p}$, where $p>1$ (or $1<p<2$).
Aug
14
awarded  Teacher
Aug
14
revised Properties of $\bigcap_{p > 1} \ell_p$
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Aug
14
revised Properties of $\bigcap_{p > 1} \ell_p$
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Aug
14
answered Properties of $\bigcap_{p > 1} \ell_p$
Aug
11
comment Is it true that the Laplace Transform of a real function with compact support is always entire?
I am afraid, I didn't understand this... Elementary functions have no compact support usually (however, this depends on the definition of elementary functions)... Is it possible that you missed this?