I know there exists an example in the literature due to Per Enflo of a separable Banach space without a Schauder basis. I am wondering if there is a reflexive counterexample?
If so I would greatly appreciate a reference.
Asked
Active
Viewed 365 times
1 Answers
9
An example of a separable reflexive Banach space with no Schauder basis appears in:
Szarek, Stanislaw J., A Banach space without a basis which has the bounded approximation property, Acta Math. 159, 81-98 (1987). ZBL0637.46013.
(I haven't read the paper beyond the statement of the theorem.)
Nate Eldredge
- 101,664
-
2Enflo's example was reflexive. Here is a link to it. – David Mitra Aug 07 '21 at 05:45