Timeline for Non strictly-singular operators and complemented subspaces
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 29, 2015 at 0:46 | comment | added | Bill Johnson | Kevin, in my email aliases I have "askSpiros". | |
| Jul 28, 2015 at 17:58 | comment | added | Kevin Beanland | Welcome to MO Spiros! You should be aware that there is an ask-johnson tag that folks have found very useful :) | |
| Jul 27, 2015 at 13:13 | comment | added | Bill Johnson | The answer to your last question is yes. Consider $X$ to be a subspace of $L_\infty$. Use a back and forth argument to extend the operator on $X$ to an operator on some separable sublattice $Y$ of $L_\infty$ that contains $X$ and the constant functions. $Y$ is isometric to a separable $C(K)$ space and thus is norm one complemented in $C[0,1]$. | |
| Jul 27, 2015 at 13:08 | comment | added | Bill Johnson | For general spaces there is no difference between the OP's question for operators on a space and for operators between two spaces. because a counterexample for $L(X,Y)$ gives a counterexample for $(L(X\oplus Y)$. | |
| Jul 27, 2015 at 12:25 | review | First posts | |||
| Jul 27, 2015 at 12:28 | |||||
| Jul 27, 2015 at 12:23 | history | answered | S.A. Argyros | CC BY-SA 3.0 |