bio  website  

location  
age  
visits  member for  4 years, 10 months 
seen  1 hour ago  
stats  profile views  14,911 
I am a professor of Mathematics at the University of Pisa, Italy.
1d

comment 
Uninteresting questions with interesting answers
Not sure if this example qualifies. 
1d

comment 
Uninteresting questions with interesting answers
I suspect that any interesting mathematical result can be made the answer of some uninteresting mathematical question, or at least, quite less interesting than the answer. For instance: how little is the minimum algebraic sum $\pm a^2\pm b^2\pm c^2$ for a right triangle with edges $a,b,c$? etc. 
1d

answered  Uninteresting questions with interesting answers 
2d

answered  Interesting Calculus Questions/Exercises 
Mar 20 
comment 
Are there dense sets of positive but not full measure?
Constructing a measurable subset $A$ of $[0,1]$ such that $0 < \mu(A\cap [a,b]) < ba$ for any $0\le a < b\le 1$ is an old and wellknown elementary exercise in Measure Theory; see Rudin's Real and Complex Analysis. 
Mar 18 
comment 
Expected centered entropy of the binomial distribution
OK, so you want an estimate on the uniform convergence of the Bernstein polynomials of $h(x)$, since $\sup_{p\in[0,1]}I_n(p )=\h−B_n h\_\infty$. 
Mar 17 
comment 
Expected centered entropy of the binomial distribution
What should be the meaning of "for large $n$, $\max\limits_{p \in [0,1]} I_n(p) \to I_n(\frac{\alpha}{n})$" ? 
Mar 16 
answered  Generating function for products of laguerre polynomials? 
Mar 16 
comment 
Is it true that for each bounded continuous function we can find a set of analytic functions to uniformly converge it?
Oh "bounded" sorry 
Mar 16 
comment 
Is it true that for each bounded continuous function we can find a set of analytic functions to uniformly converge it?
Actually it's true for any continuous functions, it's a classic result I think due to Carleman. mathoverflow.net/questions/26243/… 
Mar 16 
comment 
Is it true that for each bounded continuous function we can find a set of analytic functions to uniformly converge it?
But the convolution with a gauss kernel is not defined for all continuous functions 
Mar 13 
answered  Predual of a subspace 
Mar 5 
awarded  Nice Answer 
Mar 3 
awarded  Nice Question 
Mar 1 
comment 
How to respond to “I was never much good at maths at school.”
This is the perfect answer to me! 
Mar 1 
comment 
How to respond to “I was never much good at maths at school.”
other experiences of MO users at the immigration office: mathoverflow.net/questions/178104/… 
Mar 1 
comment 
History of $\frac d{dt}\tan^{1}(t)=\frac 1{1+t^2}$
suddenly I thought that the first place where it appeared could be… exactly this question 
Feb 28 
comment 
Is there a reference for compact imbedding theory of Hölder space?
Actually it was me who wrote that section on compactness in the wiki article. Since the proof is one line, and can be checked immediately, I didn't bother to look for a reference. 
Feb 28 
comment 
Totally non fixed point property
a singleton {*}  for higher dimension, a topological manifold has a lot of self mappings (e.g. a map only moving points in a small neighborhood of a given point) 
Feb 26 
comment 
A question about open subsets of Hilbert space whose complements are compact sets
Nice! We may also say that the radial projection from $x$ onto the hyperplane $H$ (which is a continuous map $X\setminus\{x\}\to H$) takes the countable union of compact subsets $X\setminus V$ to a countable union of compact subsets therefore of first category in $H$. (Also, actually you have proven that $V$ is locally path connected and connected). 