bio | website | maths.lancs.ac.uk/~kania |
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location | Lancaster, United Kingdom | |
age | ||
visits | member for | 3 years, 5 months |
seen | 1 hour ago | |
stats | profile views | 1,643 |
Oct 21 |
revised |
Convergence on a random graph
spelling of Łuczak |
Oct 21 |
suggested | suggested edit on Convergence on a random graph |
Oct 18 |
comment |
The space of all compact metric spaces with Gromov-Hausdorff distance
Is it at least known that the space of compact metric spaces modulo isometry is separable? This reminds me of a similar result of Pisier asserting that for each $n\geqslant 2$ the space of $n$-dimensional operator spaces, $O_n$, is non-separable. I am wondering if one could embed $O_n$ in your space. |
Oct 15 |
comment |
Is $L(\ell_2,\ell_2)$ dense in $L(\ell_2,c_0)$?
Hi Michael, we met at HLF two weeks ago. :) |
Oct 15 |
accepted | Discrete subsets in the topology of pointwise convergence vs. metrisability |
Oct 14 |
awarded | Nice Question |
Oct 13 |
comment |
Discrete subsets in the topology of pointwise convergence vs. metrisability
Santi, this is a brilliant answer. I will accept it in two days. Could you please elaborate a bit more on the first sentence of the final paragraph? |
Oct 13 |
revised |
Discrete subsets in the topology of pointwise convergence vs. metrisability
edited title |
Oct 13 |
comment |
A Banach space with all Hilbertian subspaces complemeneted
Maybe being $\pi$-Euclidean would be of use for you? See Cor. 8.4 in Projections onto Hilbertian subspaces of Banach spaces by Figiel and Tomczak-Jaegermann. |
Oct 13 |
comment |
A Banach space with all Hilbertian subspaces complemeneted
Are there any particular properties that you hope for? |
Oct 13 |
asked | Discrete subsets in the topology of pointwise convergence vs. metrisability |
Oct 11 |
answered | Is there a non-compact Poulsen simplex? |
Oct 2 |
comment |
Is $\mathbb{Z}^{\omega}$ ever the union of a chain of proper subgroups each isomorphic to $\mathbb{Z}^{\omega}$?
This paper arxiv.org/pdf/math/0508146v6.pdf might be of relevance. |
Oct 1 |
awarded | Excavator |
Oct 1 |
revised |
Does the dual Banach space $B(\ell^\infty)$ have weak* normal structure?
formating, grammar improved |
Oct 1 |
suggested | suggested edit on Does the dual Banach space $B(\ell^\infty)$ have weak* normal structure? |
Sep 30 |
awarded | Explainer |
Sep 29 |
revised |
Is there any standard procedure to properly define a composite metric?
link added |
Sep 29 |
suggested | suggested edit on Is there any standard procedure to properly define a composite metric? |
Sep 14 |
comment |
Ultrapowers of Banach spaces without the continuum hypothesis
If CH fails, then you can find $2^{\mathfrak{c}}$ ultrapowers of $C(K)$ which are not isometric to $\ell_\infty / c_0$. As for the isomorphic case, it seems that there are also $2^{\mathfrak{c}}$ isomorphic types by a version of Theorem 3 from arxiv.org/pdf/0912.0406.pdf adjusted to the setting of ptmat.fc.ul.pt/~alexus/papers/unstable.pdf |