Timeline for Density-$c_0$ in $\ell^\infty$
Current License: CC BY-SA 4.0
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| Dec 21, 2018 at 11:08 | comment | added | Paolo Leonetti | @MartinSleziak Thanks for the nice answer, I didn't know the article of T. Šalát, B.C. Tripathy, M. Ziman. As a side remark, I think it would be more natural to define $c_0(\mathcal{I})$ as the set of sequences (not necessarily bounded) which are $\mathcal{I}$-convergent to $0$. | |
| Oct 30, 2018 at 14:55 | vote | accept | Walt van Amstel | ||
| Oct 30, 2018 at 14:55 | comment | added | Walt van Amstel | Thank you very much. This is exactly what I was looking for. I wasn't aware of the term 'statistical convergence'. | |
| Oct 30, 2018 at 12:16 | comment | added | Martin Sleziak | This is not exactly what you asked about - the space you are interested in is a special case for the ideal of sets with zero density. But I hope that at least the information that there are some papers which study this generalization might be helpful - and possibly it might help you to find further resources. | |
| Oct 30, 2018 at 12:06 | history | edited | Martin Sleziak | CC BY-SA 4.0 |
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| Oct 30, 2018 at 11:11 | history | edited | Martin Sleziak | CC BY-SA 4.0 |
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| Oct 30, 2018 at 10:59 | history | edited | Martin Sleziak | CC BY-SA 4.0 |
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| Oct 30, 2018 at 10:53 | history | answered | Martin Sleziak | CC BY-SA 4.0 |