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age 24
visits member for 2 years, 9 months
seen Mar 17 at 19:31
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?
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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?
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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