39,318 reputation
32974
bio website uregina.ca/science/mathstat/…
location Regina, Canada
age 46
visits member for 2 years, 8 months
seen 4 hours ago

I'm an Operator Algebraist (which interestingly makes me an analyst!)


Jul
30
revised Prove that $v_1, \dots v_n$ is a basis of V.
added 92 characters in body
Jul
30
answered Prove that $v_1, \dots v_n$ is a basis of V.
Jul
30
comment For an inductive limit $X = \bigcup X_n$ of vector spaces, show that $X$ is complete if $X_n$ is complete for all $n$
But of course Baire's Category Theorem shows that the topology from the OP is not given by a metric.
Jul
30
comment For an inductive limit $X = \bigcup X_n$ of vector spaces, show that $X$ is complete if $X_n$ is complete for all $n$
@ZhenLin: how do you justify that? The argument I know uses Baire's Category Theorem, which doesn't necessarily apply to all topological vector spaces.
Jul
30
answered Why does $\lim\limits_{N \rightarrow \infty}{\sum_{i=1}^{N}\frac{1}{\frac{N}{1-\epsilon}-i}}$ converge to $\log\left[\frac{1}{\epsilon}\right]$?
Jul
29
answered Do two II$_1$-factors with trivial intersection generate $B(H)$?
Jul
28
revised Question on amenable direct summand
edited tags
Jul
27
answered Why is the natural map from maximal to reduced C star algebra surjective?
Jul
19
comment find element in relative commutant of a matrix subalgebra
Nice! ${\ \ \ }$
Jul
19
revised find element in relative commutant of a matrix subalgebra
edited tags
Jul
18
comment Spectrum of normal elements in C*-algebras
Good point, Jonas. I have edited accordingly.
Jul
18
revised Spectrum of normal elements in C*-algebras
added 307 characters in body
Jul
18
revised Spectrum of normal elements in C*-algebras
edited tags
Jul
18
answered Spectrum of normal elements in C*-algebras
Jul
15
comment A simple lemma in tensor product
Good question. They are likely taking $A$ as unital since the operator system is unital. And apparently $B$ too. I'll have to think about it.
Jul
15
awarded  Nice Answer
Jul
15
revised If $A$ is a primitive / irreducible C*-algebra, then $M(A)$ has trivial center.
added 2 characters in body
Jul
14
comment If $A$ is a primitive / irreducible C*-algebra, then $M(A)$ has trivial center.
If you represent your C$^*$-algebra $A$ faithfully in $B(H)$, it is a theorem that $M(A)$ can be represented inside $A''$. I remember it from Pedersen's book, which I don't have at hand right now.
Jul
14
answered If $A$ is a primitive / irreducible C*-algebra, then $M(A)$ has trivial center.
Jul
14
answered A simple lemma in tensor product