Timeline for Renorming on a separable Banach space
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 22, 2023 at 3:40 | vote | accept | PPB | ||
| Jul 21, 2023 at 14:17 | comment | added | Iosif Pinelis | @PPB : Thank you for your comment. | |
| Jul 21, 2023 at 10:27 | comment | added | PPB | We can also take $x=(1, 1,0,...)$ and $y=(-1, 1,0,...)$ to check that $I_n=0$ but $x \neq y$. | |
| Jul 20, 2023 at 18:19 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
added 4 characters in body
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| Jul 20, 2023 at 16:01 | comment | added | Iosif Pinelis | @PriyankaPriyadarshiniBehera : I have added the details on the "No", which completes the answer to your question. | |
| Jul 20, 2023 at 15:58 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
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| Jul 20, 2023 at 15:35 | comment | added | Iosif Pinelis | @PriyankaPriyadarshiniBehera : (i) You wrote "I was looking for two sub-sequences and their weak limits to verify. I would be obliged if you could give me a hint on how to proceed to get the answer to be YES for $\sum_{i=1}^\infty$. I can supply these details if this is all that you need. (ii) What is your definition of rotundity and what is the purpose of your comment about the rotundity? . | |
| Jul 20, 2023 at 2:50 | comment | added | PPB | Also, I think the norm will be rotund if we take $\sum_{i=1}^\infty$. And the norm mentioned above is not rotund. | |
| Jul 20, 2023 at 2:44 | comment | added | PPB | I appreciate your answer. However, I was looking for two sub-sequences and their weak limits to verify. I would be obliged if you could give me a hint on how to proceed to get the answer to be YES for $\sum_{i=1}^\infty$. | |
| Jul 19, 2023 at 19:17 | history | answered | Iosif Pinelis | CC BY-SA 4.0 |