bio | website | |
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location | ||
age | 24 | |
visits | member for | 2 years, 9 months |
seen | Mar 17 at 19:31 | |
stats | profile views | 266 |
Graduate student (Cornell University).
Jan 27 |
awarded | Informed |
Jan 21 |
accepted | Does the group of compact perturbations of the identity act transitively on the compact operators? |
Jan 21 |
comment |
Does the group of compact perturbations of the identity act transitively on the compact operators?
Yes, I've edited to reflect that issue. I am really concerned about the infinite rank compact operators. |
Jan 21 |
revised |
Does the group of compact perturbations of the identity act transitively on the compact operators?
added 251 characters in body |
Jan 21 |
asked | Does the group of compact perturbations of the identity act transitively on the compact operators? |
Oct 19 |
comment |
If G is a sequential topological group, must G x G be sequential?
Can you provide an example? I can't see it right now. |
Oct 19 |
revised |
If G is a sequential topological group, must G x G be sequential?
added 8 characters in body |
Oct 19 |
answered | If G is a sequential topological group, must G x G be sequential? |
Oct 17 |
comment |
If G is a sequential topological group, must G x G be sequential?
There is a survey by Moore and Todorcevic on the related question of whether every separable Frechet group is metrizable. math.cornell.edu/~justin/Ftp/Malykhin.pdf At the end, they ask the question (credited to Hrusak) of whether this might hold under Todorcevic's Open Coloring Axiom. I'm not sure what the current state of this is. |
Sep 3 |
accepted | A space parameterizing the choices of orthonormal bases for a Hilbert space |
Aug 19 |
comment |
When is a filter generated by a (countable) chain?
Great! It's interesting that in the examples I was thinking of, it is clear that $\bigcap M\neq\emptyset$, since I am taking filters generated by decreasing chains of nonempty closed sets in complete metric spaces. Not sure how the nonempty interior effects this, though. |
Aug 18 |
comment |
When is a filter generated by a (countable) chain?
Why can you say that the chain is well-ordered with a continuous enumeration? Could it have order type $\mathbb{R}$ or something like that? |
Aug 18 |
asked | When is a filter generated by a (countable) chain? |
Jun 20 |
comment |
Is the ideal of compact operators strongly Borel?
Thanks for the answer, and the link to this paper! |
Jun 20 |
accepted | Is the ideal of compact operators strongly Borel? |
Jun 20 |
asked | Is the ideal of compact operators strongly Borel? |
May 14 |
awarded | Commentator |
May 14 |
comment |
A space parameterizing the choices of orthonormal bases for a Hilbert space
That said, I'm open to other parameterizing spaces. |
May 14 |
comment |
A space parameterizing the choices of orthonormal bases for a Hilbert space
@Yoav For some reason, I was trying to avoid identifying my space with $\ell^2$ (i.e., fixing a basis to begin with), but if I do so, then you're right, then unitary group does the job, and is Polish in the strong operator topology. |
May 14 |
revised |
A space parameterizing the choices of orthonormal bases for a Hilbert space
added 8 characters in body |