Coreflexive Banach spaces satisfy an equivalence with their separable subspaces under w*-sequential density in the bidual, remain stable under ell^p sums, and yield coreflexive Bochner spaces when the quotient is separable.
Coreflexive and somewhat reflexive Banach spaces.” Proceed- ings of the American Mathematical Society 36.2 (1972): 421-427
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A study on coreflexive Banach Spaces
Coreflexive Banach spaces satisfy an equivalence with their separable subspaces under w*-sequential density in the bidual, remain stable under ell^p sums, and yield coreflexive Bochner spaces when the quotient is separable.