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arXiv · 1403.2647

WORTH property, García-Falset coefficient and Opial property of infinite sums

Jan-David Hardtke
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Abstract

We prove some results concerning the WORTH property and the García-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 $L^p(μ,X)$ are discussed.

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Jan-David Hardtke. 2014-03-11. WORTH property, García-Falset coefficient and Opial property of infinite sums. https://arxiv.org/abs/1403.2647

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