| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 6417584 | Journal of Mathematical Analysis and Applications | 2016 | 8 Pages |
Abstract
The separable quotient problem remains open for Banach spaces. The recent solution for barrelled spaces counters Saxon-Narayanaswami's solution for (LF)-spaces. W.J. Robertson proposed properly separable quotients. We fully answer her quarter-century-old question, proving (LF)-spaces admit properly separable quotients with rare exception. Corollary: Every (LF)-space except Ï admits properly separable quotients if and only if Banach's classic separable quotient problem has a positive solution.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Stephen A. Saxon,