{"paper":{"title":"Some new Fibonacci difference spaces of non-absolute type and compact operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Anupam Das, Bipan Hazarika","submitted_at":"2016-04-25T15:41:33Z","abstract_excerpt":"The aim of the paper is to introduced the spaces $c_{0}^{\\lambda}(\\hat{F})$ and $c^{\\lambda}(\\hat{F})$ 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 their bases. We also characterize some matrix classes on the spaces $c_{0}^{\\lambda}(\\hat{F})$ and $c^{\\lambda}(\\hat{F}).$ Here we characterize the subclasses $\\mathcal{K}(X,Y)$ of compact operators where $X$ is $c_{0}^{\\lambda}(\\hat{F})$ or $c^{\\lambda}(\\hat{F})$ and $Y$ is one of the spaces $c_{0},c, l_{\\infty}, l_{"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.07396","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"}