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Coreflexive and Somewhat Reflexive Banach Spaces
James R. Clark
Proceedings of the American Mathematical Society
Vol. 36, No. 2 (Dec., 1972), pp. 421-427
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2039171
Page Count: 7
You can always find the topics here!Topics: Banach space, Mathematical theorems, Integers, Linear transformations, Isomorphism, Topological theorems, Separable spaces, Scalars, Mathematical complements
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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.
Proceedings of the American Mathematical Society © 1972 American Mathematical Society