Timeline for Is this Hankel matrix in trace class
Current License: CC BY-SA 3.0
10 events
| when toggle format | what | by | license | comment | |
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| Sep 19, 2015 at 12:04 | comment | added | Mikael de la Salle | (continued) Our paper "Complete boundedness of heat semigroups on the von Neumann algebra of hyperbolic groups" is available on arxiv.org/abs/1405.5178 , and will soon appear in Transactions of the AMS. | |
| Sep 19, 2015 at 12:03 | comment | added | Mikael de la Salle | This question was the starting point for a joint work with Tao. The positive answer to the question implies that the heat semigroup is bounded (although not positive) on the free group von Neumann algebras. We also realized that the same holds for every hyperbolic group, for the simple reason that (essentially) every cb radial multipliers on the free group von Neumann algebras are cb multipliers on the von Neumann algebra of every hyperbolic group. Our paper contains a detailed study of other radial multipliers (eg Bochner-Riesz), and some computations on abelian groups... | |
| May 18, 2014 at 14:25 | history | protected | CommunityBot | ||
| Apr 11, 2014 at 5:28 | vote | accept | tao mei | ||
| Apr 7, 2014 at 20:42 | answer | added | Mikael de la Salle | timeline score: 6 | |
| Apr 4, 2014 at 21:36 | comment | added | Yemon Choi | Actually, what happens when you compute the Hilbert-Schmidt norm of $\Gamma$? Some back-of-the-envelope calculations seem to indicate (assuming I have not made a mistake) that $\Vert\Gamma\Vert_{\rm HS}$ is bounded away from zero by a uniform constant as $t\to 0^+$ but I have not checked these calculations carefully. | |
| Apr 4, 2014 at 19:18 | comment | added | Yemon Choi | Hi Tao. I am unable to access this article of Bonsall (ams.org/mathscinet-getitem?mr=849553 or dx.doi.org/10.1016/S0924-6509(09)70256-9 ) but since it obtains estimates of the trace class in terms of coefficients it might help. | |
| Mar 31, 2014 at 22:10 | history | edited | Noah Schweber | CC BY-SA 3.0 |
added 9 characters in body
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| Mar 31, 2014 at 22:00 | review | First posts | |||
| Mar 31, 2014 at 22:20 | |||||
| Mar 31, 2014 at 21:42 | history | asked | tao mei | CC BY-SA 3.0 |