1. On the separable quotient problem for Banach Spaces
- Author
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Czech Science Foundation, Generalitat Valenciana, Ferrando, J. C., Kakol, Jerzy, López Pellicer, Manuel, Sliwa, Wieslaw, Czech Science Foundation, Generalitat Valenciana, Ferrando, J. C., Kakol, Jerzy, López Pellicer, Manuel, and Sliwa, Wieslaw
- Abstract
[EN] While the classic separable quotient problem remains open, we survey general results related to this problem and examine the existence of infinite-dimensional separable quotients in some Banach spaces of vector-valued functions, linear operators and vector measures. Most of the presented results are consequences of known facts, some of them relative to the presence of complemented copies of the classic sequence spaces c_0 and lp. Also recent results of Argyros, Dodos, Kanellopoulos [see 1 in the paper] and Sliwa [see 64 in the paper] are provided. This makes our presentation supplementary to a previous survey (1997) due to Mujica.
- Published
- 2018