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Banach Spaces that Admit Support Sets
J. M. Borwein and J. D. Vanderwerff
Proceedings of the American Mathematical Society
Vol. 124, No. 3 (Mar., 1996), pp. 751-755
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2161940
Page Count: 5
You can always find the topics here!Topics: Banach space, Mathematical theorems, Topology, Hausdorff spaces, Topological theorems, General topology, Continuum hypothesis
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It is shown that the existence of a closed convex set all of whose points are properly supported in a Banach space is equivalent to the existence of a certain type of uncountable ordered one-sided biorthogonal system. Under the continuum hypothesis, we deduce that this notion is weaker than the existence of an uncountable biorthogonal system.
Proceedings of the American Mathematical Society © 1996 American Mathematical Society