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Banach-Saks operators on spaces of continuous functions

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URI: https://hdl.handle.net/10016/5480
ISSN: 1618-1891
DOI: 10.1007/BF01759631
DOI: 10.1007/BF01759631
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1992
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Springer
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Let K be a compact Hausdorff space and let E be a Banach space. We denote by C(K, E) the Banach space of all E-valued continuous functions defined on K, endowed with the supremum norm. We study in this paper Banach-Saks operators defined on C(K, E) spaces. We characterize these operators for a large class of compacts K (the scattered ones), or for a large class of Banach spaces E (the superreflexive ones). We also show by some examples that our theorems can not be extended directly.
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Annali di Matematica pura ed applicata. 1992, vol. 161, nº 1, p. 43-56
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