{"paper":{"title":"Pointwise multipliers of Calder\\'on-Lozanovskii spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Karol Lesnik, Lech Maligranda, Pawel Kolwicz","submitted_at":"2012-06-08T20:00:45Z","abstract_excerpt":"Several results concerning multipliers of symmetric Banach function spaces are presented firstly. Then the results on multipliers of Calder\\'on-Lozanovskii spaces are proved. We investigate assumptions on a Banach ideal space E and three Young functions \\varphi_1, \\varphi_2 and \\varphi, generating the corresponding Calder\\'on-Lozanovskii spaces E_{\\varphi_1}, E_{\\varphi_2}, E_{\\varphi} so that the space of multipliers M(E_{\\varphi_1}, E_{\\varphi}) of all measurable x such that x,y \\in E_{\\varphi} for any y \\in E_{\\varphi_1} can be identified with E_{\\varphi_2}. Sufficient conditions generalize"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.1860","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"}