科研之友
微信
新浪微博
Facebook
分享链接
摘要
We show that the problem whether every 1-separably injective Banach space contains an isomorphic copy of is undecidable. Namely, unlike under the continuum hypothesis, assuming Martin's axiom and the negation of the continuum hypothesis, there is an 1-separably injective Banach space of the form C(K) (which means that K is an F-space) without an isomorphic copy of . This result is a consequence of our study of 2-subsets of tightly sigma-filtered Boolean algebras introduced by Koppelberg for which we obtain some general principles useful when transferring properties of Boolean algebras to the level of Banach spaces.
- 出版日期2018-4
