Separable quotients of Banach spaces. (English) Zbl 0908.46007
Summary: We show that the separable quotient problem for Banach spaces is equivalent to several other problems from Banach space theory. We give also several partial solutions to the problem.
MSC:
46B10 | Duality and reflexivity in normed linear and Banach spaces |
46B15 | Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces |
46B45 | Banach sequence spaces |
46A08 | Barrelled spaces, bornological spaces |
46G20 | Infinite-dimensional holomorphy |
46B22 | Radon-Nikodým, Kreĭn-Milman and related properties |