Timeline for Is a subspace with a certain property dense in the dual of a vector space?
Current License: CC BY-SA 2.5
7 events
| when toggle format | what | by | license | comment | |
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| May 6, 2010 at 7:36 | comment | added | Bill Johnson | A subset $B$ of the unit sphere of the dual of a Banach space $V$ that has the property that every vector in $V$ achieves its norm at some functional in $B$ is called a boundary for $V$. Recently Hermann Pfitzner arXiv:0807.2810 solved Godefroy's boundary problem in the affirmative. The boundary problem was whether a subset of $V$ is weakly compact if it is compact in the topology of pointwise convergence on some boundary for $V$. This was a problem of some note, with earlier related results by, including others, Grothendieck and Bourgain-Talagrand. | |
| May 5, 2010 at 17:09 | vote | accept | Alden Walker | ||
| May 5, 2010 at 4:57 | answer | added | Ady | timeline score: 11 | |
| May 5, 2010 at 4:39 | history | edited | Yemon Choi |
added banach-spaces tag
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| May 5, 2010 at 4:26 | answer | added | Harald Hanche-Olsen | timeline score: 0 | |
| May 5, 2010 at 3:52 | comment | added | Harald Hanche-Olsen | You must assume that $X$ is a subspace of $V$, else the result is trivially wrong (take $X$ to be the unit sphere of a reflexive space $V$). | |
| May 5, 2010 at 3:21 | history | asked | Alden Walker | CC BY-SA 2.5 |