{"paper":{"title":"A study of reciprocal Dunford-Pettis-like properties on Banach spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"M. Alikhani","submitted_at":"2019-05-09T12:39:37Z","abstract_excerpt":"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 \\rightarrow 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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.03576","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}