Timeline for Hahn Banach Theorem for multisublinear functionals
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Feb 25, 2012 at 3:22 | comment | added | Yemon Choi | @Ralph: I think that enclosing the words in double asterisks works (markdown syntax) | |
| Feb 25, 2012 at 3:09 | comment | added | Ralph | @Yemon: An off-topic question: How do you create bold text in comments ? Thanks. | |
| Feb 25, 2012 at 1:19 | history | edited | Yemon Choi | CC BY-SA 3.0 |
corrected earlier stupidity
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| Feb 24, 2012 at 22:29 | history | edited | Yemon Choi | CC BY-SA 3.0 |
more flailing
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| Feb 24, 2012 at 17:53 | comment | added | Yemon Choi | @kofi, the point is that the norms do not match - if you take an element of the completed projective tensor product $E \hat{\otimes} E$, and view it as an element of $X\hat{\otimes} X$, then the norm can strictly decrease. This is well known in Banach-space theory, see examples in Defant and Floret's book for example. | |
| Feb 24, 2012 at 12:43 | comment | added | Matthias Ludewig | Your second claim is not correct. If you have a linear map $f: X \longrightarrow Y$ between Banach normed vector spaces that is bounded, injective and isometric (for example if $X$ is a subspace of $Y$ equipped with the same norm), then the dual map $f': Y' \longrightarrow X'$ is always surjective. Also, I gave a proof of the positive answer below, I believe. | |
| Feb 23, 2012 at 23:39 | history | answered | Yemon Choi | CC BY-SA 3.0 |