{"paper":{"title":"Some Fibonacci sequence spaces of non-absolute type derived from $\\ell_{p} $ with $(1 \\leq p \\leq \\infty)$ and Hausdorff measure of non-compactness of composition operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Anupam Das, Bipan Hazarika, Feyzi Ba\\c{s}ar","submitted_at":"2017-06-18T10:08:06Z","abstract_excerpt":"The aim of the paper is to introduce the spaces $\\ell_{\\infty}^{\\lambda}(\\widehat{F})$ and $\\ell_{p}^{\\lambda}(\\widehat{F})$ derived by the composition of the two infinite matrices $\\Lambda=(\\lambda_{nk})$ and $\\widehat{F}=\\left( f_{nk} \\right),$ which are the $BK$-spaces of non-absolute type and also derive some inclusion relations. Further, we determine the $\\alpha$-, $\\beta$-, $\\gamma$-duals of those spaces and also construct the basis for $\\ell_{p}^{\\lambda}(\\widehat{F}).$ Additionally, we characterize some matrix classes on the spaces $\\ell_{\\infty}^{\\lambda}(\\widehat{F})$ and $\\ell_{p}^{"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.07289","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"}