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A study of reciprocal Dunford-Pettis-like properties on Banach spaces | | M. Alikhani
; | | Date: |
9 May 2019 | | Abstract: | 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
ightarrow Y) is
weakly (q)-compact, for every Banach space (Y). Moreover, we define the
notion of (q)-reciprocal Dunford-Pettis(^*)property of order (p) on
Banach spaces and obtain a characterization of Banach spaces with this
property. The stability of reciprocal Dunford-Pettis property of order (p)
for the projective tensor product is given. | | Source: | arXiv, 1905.3576 | | Services: | Forum | Review | PDF | Favorites | |
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