Coreflexive and somewhat reflexive Banach spaces

Clark, James R.

doi:10.1090/S0002-9939-1972-0308748-7

Coreflexive and somewhat reflexive Banach spaces
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Proc. Amer. Math. Soc. 36 (1972), 421-427 Request permission

Abstract:

A coreflexive Banach space is shown to have many of the same properties as a quasi-reflexive space. An infinite dimensional reflexive subspace of a Banach space with boundedly complete basis and separable dual is constructed, and it is noted that somewhat reflexive Banach spaces need not be coreflexive.

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