Abstract of a paper by Jan-David Hardtke
This is an announcement for the paper "WORTH property, Garc\'{i}a-Falset coefficient and Opial property of infinite sums" by Jan-David Hardtke. Abstract: We prove some results concerning the WORTH property and the Garc\'{i}a-Falset coefficient of absolute sums of infinitely many Banach spaces. The Opial property/uniform Opial property of infinite $\ell^p$-sums is also studied and some properties analogous to the Opial property/uniform Opial property for Lebesgue-Bochner spaces $L^p(\mu,X)$ are discussed. Archive classification: math.FA Mathematics Subject Classification: 46B20 46E40 Remarks: 22 pages Submitted from: hardtke@math.fu-berlin.de The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1403.2647 or http://arXiv.org/abs/1403.2647
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