About the properties (V) and (R. D. P.) in injective tensor products

DOI10.1007/BF02851395zbMath0931.46047WikidataQ114233741 ScholiaQ114233741MaRDI QIDQ1275742

Raffaella Cilia

Publication date: 23 February 2000

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

zbMATH Keywords

reflexive Banach spaceDunford-Pettis operatorweakly compactinjective tensor product\({\mathcal L}_\infty\)-spaceunconditionally convergingunconditional Schauder decompositionproperty (V) of PełczyńskiRDP propertyreciprocal Dunford-Pettis property

Mathematics Subject Classification ID

Linear operators defined by compactness properties (47B07) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Spaces of operators; tensor products; approximation properties (46B28) Vector-valued measures and integration (46G10) Tensor products in functional analysis (46M05)

Cites Work

• On unconditionally converging and weakly precompact operators
• New classes of \(L_ p-\)spaces
• A Stability Property of a Class of Banach Spaces not Containing a Complemented Copy of l 1
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