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Proceedings of the American Mathematical Society

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On nonequivalent normalized unconditional bases for Banach spaces


Author: Julien Hennefeld
Journal: Proc. Amer. Math. Soc. 41 (1973), 156-158
MSC: Primary 46B15
DOI: https://doi.org/10.1090/S0002-9939-1973-0320716-9
MathSciNet review: 0320716
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Abstract: It is proved that if an infinite dimensional Banach space $ X$ has an unconditional basis and is not isomorphic to $ {c_0},{l_1}$, or $ {l_2}$, then $ X$ has uncountably many nonequivalent normalized unconditional bases.


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DOI: https://doi.org/10.1090/S0002-9939-1973-0320716-9
Keywords: Unconditional basis, symmetric basis
Article copyright: © Copyright 1973 American Mathematical Society

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