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