Timeline for Does there exists an example of a Banach space that is compactly LUR; but not LUR
Current License: CC BY-SA 4.0
9 events
when toggle format | what | by | license | comment | |
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Feb 18 at 6:37 | comment | added | PPB | It looks like the mentioned norm is the supremum norm; then, it will not be a smooth norm on $\mathbb{R}^2$. | |
Feb 18 at 6:23 | comment | added | PPB | I also want to construct such renorming in case of an infinite dimensional Banach space; any hints, please? Can I simply define the $\ell_2$ direct sum of the mentioned norm with a Hilbert space? Will that work? Any other suggestions would also appreciated. | |
Feb 18 at 6:14 | vote | accept | PPB | ||
Feb 16 at 21:34 | comment | added | user479223 | @LSpice It is indeed the same as "compactly LUR." | |
Feb 16 at 21:33 | comment | added | LSpice | Re, it is not, although I see now that it is used. Is it the same as "compactly LUR"? | |
Feb 16 at 21:32 | comment | added | user479223 | @LSpice It is defined in the question. | |
Feb 16 at 21:32 | comment | added | LSpice | What is CLUR?.. | |
Feb 16 at 14:21 | history | edited | user479223 | CC BY-SA 4.0 |
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Feb 16 at 14:12 | history | answered | user479223 | CC BY-SA 4.0 |