Timeline for Approximation property of a Banach space in terms of finite-rank projections
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 10, 2019 at 6:32 | vote | accept | A. U. | ||
| Dec 9, 2019 at 18:40 | answer | added | Mikhail Ostrovskii | timeline score: 6 | |
| Dec 9, 2019 at 18:34 | comment | added | Mikael de la Salle | To answer the second question: yes, it depends on the chain, as a space satisfying this for every chain is easily seen to have the property that there is a constant $C$ such that every finite dimensional subspace is $C$-complemented. This characterizes spaces isomorphic to Hilbert spaces. | |
| Dec 9, 2019 at 18:30 | comment | added | Mikael de la Salle | @MatthewDaws: this seems equivalent to the $\pi$-property to me (by the uniform boundedness principle). | |
| Dec 9, 2019 at 17:56 | comment | added | Matthew Daws | This question is related to the $\pi$-property but seems (as far as I can see) weaker. | |
| Dec 9, 2019 at 16:53 | comment | added | YCor | (For readers): Wiki: approximation property | |
| Dec 9, 2019 at 16:12 | history | asked | A. U. | CC BY-SA 4.0 |