On the properties (wL) and (wV)

Ghenciu, Ioana

doi:10.1515/ms-2016-0232

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Cited by 4 publications

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“…(ii) We adapt the proof of Theorem 3.3 in [15]. Suppose that X has the (RDP * P ) p and Y is a closed separable subspace of X.…”

Section: Resultsmentioning

confidence: 99%

A study of reciprocal Dunford–Pettis-like properties on Banach spaces

Alikhani

2019

Adv. Oper. Theory

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In this article, we study the relationship between p-(V ) subsets and p-(V * ) subsets of dual spaces. We investigate the Banach space X with the property that adjoint every p-convergent operator T : X → Y is weakly q-compact, for every Banach space Y. Moreover, we define the notion of qreciprocal Dunford-Pettis * property of order p on Banach spaces and obtain a characterization of Banach spaces with this property. Also, the stability of reciprocal Dunford-Pettis property of order p for projective tensor product is given.2010 Mathematics Subject Classification. Primary 46B20; Secondary 46B25, 46B28. Key words and phrases. p-convergent operators, reciprocal Dunford-Pettis property and Dunford-Pettis property of order p..

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“…(ii) We adapt the proof of Theorem 3.3 in [15]. Suppose that X has the (RDP * P ) p and Y is a closed separable subspace of X.…”

Section: Resultsmentioning

confidence: 99%