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 Yearling
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Jan
13
answered Example of an uncountable dense set with measure zero
Jan
8
comment Relation between weak convergence of probability measures and weak-* convergence
You can find a nice discussion about this problem on the following PDF: math.ucsd.edu/~bdriver/240-01-02/Lecture_Notes/current_versions/… What you are looking for starts at p. 17. After understand how to decompose the Linear functional and use Riesz-Markov theorem give a look at Appendix in Functional Analysis Conway's book.
Jan
7
answered Confusion in not extending results in convergence in probability to convergence in distribution
Jan
4
comment $TS=0$ if and only if $T(v)=0$
I guess there is some mistake in the statement since $T\equiv 0$ satisfies $TS=0$.
Jan
2
answered Quotient map $\pi : X \rightarrow X / \mathrm{ker}(A)$ is open for a bounded linear operator $A$
Jan
1
comment Show that the square root of a non-negative operator is unique
Beautiful answer! In the last paragraph I guess that have a typo $p_n(T)$ should be $p_n(A)$.
Dec
31
comment On a step in Egorov's measure theorem
you are welcome.
Dec
31
comment Maximum value of an expression
In the numerator by replacing all $\lambda$'s by $\lambda_1$ we get that the maximum is less than or equal to $\lambda_1$. By taking $x=e_1$ we can see that it is attained.
Dec
31
comment On a step in Egorov's measure theorem
For a fixed $m$ the sequence $E^m\setminus E^m_k \downarrow \emptyset$, when $k\to\infty$.
Dec
31
asked Isolated Eigenvalues on the Extensions.
Nov
25
comment Show a differentiable function has value of zero
Is this not just simple application of Gronwall's inequality ?
Nov
6
answered Ising Model on 2k-regular graphs
Aug
4
awarded  Yearling
Apr
1
comment Finding functions from a series
I disagree, for instance, if $z=-1$ then this series converges to $1$.
Mar
30
comment Integration over Haar Measure
Dear user146290, provided that $f$ is positive or Integrable with respect to the product measure for any $X$ and $Y$ you can use the Fubini-Tonelli Theorem to compute this double integral by computing the iterated integrals, in any order you want. You could, for example, integrate over O(m) and then over O(n).
Aug
4
awarded  Yearling
Jul
2
awarded  Curious
Jul
1
revised Independence of Random Variables and Distribution Functions
A mistyping correction on the first equality.
Jul
1
suggested approved edit on Independence of Random Variables and Distribution Functions
Jun
26
revised Nowhere dense set with positive Lebesgue measure
edited body