Timeline for Biorthogonal functionals
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 22, 2016 at 0:50 | comment | added | Nik Weaver | I don't know. That does sound harder. | |
| May 22, 2016 at 0:09 | comment | added | Markus | Thank you. Can you find such a sequence in any non-reflexive Banach space? Seems like a harder question. | |
| May 21, 2016 at 23:24 | vote | accept | Markus | ||
| May 21, 2016 at 23:03 | comment | added | Nik Weaver | $l^1(\mathbb{N}^*)$ is isometrically isomorphic to $l^1$ by simply rearranging the natural basis vectors $e_n$, putting $e_\infty$ first and shifting all the others up. | |
| May 21, 2016 at 23:02 | comment | added | Nik Weaver | You know that if $\Omega$ is a compact Hausdorff space then $C(\Omega)^* \cong M(\Omega)$, right? Here $\Omega$ is the one-point compactification of $\mathbb{N}$, the continuous functions on $\Omega$ can be identified with the convergent sequences, and the Borel measures on $\Omega$ can be identified with the functions from $\Omega$ to the scalars whose values are summable. | |
| May 21, 2016 at 22:58 | comment | added | Markus | Could you please expand a little? I don't understand very well how $l_1(\mathbb{N}^{*})$ is defined and what is $e_\infty$. What would be the basic sequence in classical $l_1(\mathbb{N})$? | |
| May 21, 2016 at 22:45 | history | answered | Nik Weaver | CC BY-SA 3.0 |