Equilateral sets in infinite dimensional Banach spaces
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- by S. K. Mercourakis and G. Vassiliadis PDF
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Abstract:
We show that every Banach space $X$ containing an isomorphic copy of $c_0$ has an infinite equilateral set and also that if $X$ has a bounded biorthogonal system of size $\alpha$, then it can be renormed so as to admit an equilateral set of equal size.References
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Additional Information
- S. K. Mercourakis
- Affiliation: Department of Mathematics, University of Athens, 15784 Athens, Greece
- Email: smercour@math.uoa.gr
- G. Vassiliadis
- Affiliation: Department of Mathematics, University of Athens, 15784 Athens, Greece
- Email: georgevassil@hotmail.com
- Received by editor(s): November 28, 2011
- Received by editor(s) in revised form: December 23, 2011, February 24, 2012, and February 29, 2012
- Published electronically: September 20, 2013
- Communicated by: Thomas Schlumprecht
- © Copyright 2013
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 142 (2014), 205-212
- MSC (2010): Primary 46B20; Secondary 46B06, 46B04
- DOI: https://doi.org/10.1090/S0002-9939-2013-11746-6
- MathSciNet review: 3119196