{"paper":{"title":"On the extendability of some classes of maps on Hilbert $C^*$-modules","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Ali R. Medghalchi, Hamed Nikpey, Mohammad B. Asadi, Reza Behmani","submitted_at":"2016-07-31T06:22:44Z","abstract_excerpt":"In this paper, we show that every completely semi-$\\phi$-map on a submodule of a Hilbert $C^*$-module has a completely semi-$\\phi$-map extension on the whole of module. We also investigate the extendability of $\\phi$-maps and provide examples of $\\phi$-maps which has no $\\phi$-map extension. Finally, we introduce a category of Hilbert $C^*$-module and determine injective objects in this category."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.00190","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"}