{"paper":{"title":"Completely bounded maps and invariant subspaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.OA","authors_text":"I. G. Todorov, L. Turowska, M. Alaghmandan","submitted_at":"2017-09-01T00:44:13Z","abstract_excerpt":"We provide a description of certain invariance properties of completely bounded bimodule maps in terms of their symbols. If $\\mathbb{G}$ is a locally compact quantum group, we characterise the completely bounded $L^{\\infty}(\\mathbb{G})'$-bimodule maps that send $C_0(\\hat{\\mathbb{G}})$ into $L^{\\infty}(\\hat{\\mathbb{G}})$ in terms of the properties of the corresponding elements of the normal Haagerup tensor product $L^{\\infty}(\\mathbb{G}) \\otimes_{\\sigma{\\rm h}} L^{\\infty}(\\mathbb{G})$. As a consequence, we obtain an intrinsic characterisation of the normal completely bounded $L^{\\infty}(\\mathbb"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.00118","kind":"arxiv","version":2},"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"}