A Counterexample to a Question Of

We give an example of a compact metric space K, an open dense subset U of K, and a sequence (fn) in C(K) which is pointwise convergent to a non-continuous function on K, such that for every u ∈ U there exists n ∈ N with fn(u) = fm(u) for all m ≥ n, yet (fn) is equivalent to the unit vector basis of the James quasi-reflexive space of order 1. Thus c0 does… CONTINUE READING