Document Type
Article
Publication Date
2013
DOI
10.1016/j.jmaa.2013.02.064
Publication Title
Journal of Mathematical Analysis and Applications
Volume
404
Issue
1
Pages
64-70
Abstract
This paper explores a family of weak parallelogram laws for Banach spaces. Some basic properties of such spaces are obtained. The main result is that a Banach space satisfies a lower weak parallelogram law if and only if its dual satisfies an upper weak parallelogram law, and vice versa. Connections are established between the weak parallelogram laws and the following: subspaces, quotient spaces, Cartesian products, and the Rademacher type and co-type properties.
Original Publication Citation
Cheng, R., & Harris, C. B. (2013). Duality of the weak parallelogram laws on Banach spaces. Journal of Mathematical Analysis and Applications, 404(1), 64-70. doi:10.1016/j.jmaa.2013.02.064
Repository Citation
Cheng, Raymond and Harris, Charles B., "Duality of the Weak Parallelogram Laws on Banach Spaces" (2013). Mathematics & Statistics Faculty Publications. 61.
https://digitalcommons.odu.edu/mathstat_fac_pubs/61
Comments
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