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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
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