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seen Aug 26 at 21:15

Aug
13
comment Identities that connect antipode with multiplication and comultiplication
My category is not the category of vector spaces. :(
Aug
12
comment Identities that connect antipode with multiplication and comultiplication
Do these Hopf algebras lie in the category of vector spaces, or in an arbitrary braided monoidal category?
Aug
12
revised Identities that connect antipode with multiplication and comultiplication
added 1 character in body
Aug
11
asked Identities that connect antipode with multiplication and comultiplication
Aug
6
comment Positive definite functions generated by irreducible representations — what do people call them?
Thank you, YCor!
Aug
6
comment Positive definite functions generated by irreducible representations — what do people call them?
"Pure". Thank you! Is this folklore, or I can refer to something?
Aug
5
comment Positive definite functions generated by irreducible representations — what do people call them?
@YCor: Yes, I understand, thank you. I thought, there is a special name for these functions...
Jul
30
awarded  Curious
Jul
29
revised Positive definite functions generated by irreducible representations — what do people call them?
added 8 characters in body
Jul
29
asked Positive definite functions generated by irreducible representations — what do people call them?
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
added 143 characters in body
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?
added 176 characters in body
May
18
revised Can a continuous function on a compact group $G$ be interpreted as the sum in $C(G)$ of its Fourier series?
added 1 character in body; edited title
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