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visits member for 2 years, 10 months
seen Jul 28 at 2:38

Jul
2
awarded  Curious
Jun
4
comment About inverse matrix in portfolio choice
You are right. I had a typo. In the textbook, there is no 1/2 in Equation (*). Thanks.
Jun
4
accepted About inverse matrix in portfolio choice
Jun
4
asked About inverse matrix in portfolio choice
Mar
17
awarded  Notable Question
Jan
13
awarded  Popular Question
Sep
9
accepted The product of integrable random variables need not be integrable
Feb
18
awarded  Popular Question
Sep
29
awarded  Yearling
May
6
accepted uniform convergence of continuous functions
Apr
30
comment uniform convergence of continuous functions
I finished all the details but one thing: how can I prove uniform convergence. It seems that even on the compact set, pointwise convergence does not imply uniform convergence. By the way, I would accept the comments as the answer (should you post it or them), since they are very helpful. Thank you.
Apr
30
comment uniform convergence of continuous functions
One quick question: is it right to argue that Convex combination of continuous functions is continuous $\Rightarrow C[0,1]$ is convex.
Apr
30
comment uniform convergence of continuous functions
Riesz representation theorem seems to apply to linear functionals. But C[0,1] meas all continuous functions on [0,1]. Am I wrong?
Apr
30
asked uniform convergence of continuous functions
Apr
25
accepted Quotient space and $L_p$ space
Apr
23
asked Quotient space and $L_p$ space
Apr
22
comment The spectrum of a bounded linear operator
Thank you. I basically proved that.
Apr
22
comment The spectrum of a bounded linear operator
I agree with your ``EDIT''. In fact, $\sigma(T^{n})=[\sigma(T)]^{n}$ for the complex case. That's why the converse is true for the complex. The proof is not trivial. Do you agree? Also @Norbert
Apr
22
comment The spectrum of a bounded linear operator
One simple linear algebra question. Given that $$ T^n-\lambda^nI=\left(\sum\limits_{k=0}^{n-1}\lambda^{n-1-k}T^k\right)(T-\lambda I) $$, why $T^n-\lambda^n I$ is invertible $\Rightarrow T-\lambda I$ is invertible? Thank you.
Apr
21
accepted The spectrum of a bounded linear operator