WORTH property, García-Falset coefficient and Opial property of infinite sums
Commentationes Mathematicae, Tome 55 (2015) no. 1, pp. 23-44.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

We prove some results concerning the WORTH pro\-perty and the Garc\'{i}a-Falset coefficient of absolute sums of infinitely many Banach spaces. Also, the Opial property/uniform Opial property of infinite \(\ell^p\)-sums is studied, and some properties analogous to the Opial property/uniform Opial property are discussed for Lebesgue\polishendash Bochner spaces \(L^p(\mu,X)\).
DOI : 10.14708/cm.v55i1.718
Classification : 46B20, 46E40
Mots-clés : Opial property, uniform Opial property, WORTH property, Garc\'{i}a-Falset coefficient, absolute sums, fixed point property, Lebesgue-Bochner spaces
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Jan-David Hardtke. WORTH property, García-Falset coefficient and Opial property of infinite sums. Commentationes Mathematicae, Tome 55 (2015) no. 1, pp.  23-44. doi : 10.14708/cm.v55i1.718. http://geodesic.mathdoc.fr/articles/10.14708/cm.v55i1.718/

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