{"paper":{"title":"Unconditionally saturated Banach space with the scalar-plus-compact property","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Anna Pelczar-Barwacz, Antonis Manoussakis, Micha{\\l} \\'Swi\\c{e}tek","submitted_at":"2016-09-21T11:36:33Z","abstract_excerpt":"We construct a Bourgain-Delbaen $\\mathscr{L}_\\infty$-space $\\mathfrak{X}_{Kus}$ with strongly heterogenous structure: any bounded operator on $\\mathfrak{X}_{Kus}$ is a compact perturbation of a multiple of the identity, whereas the space $\\mathfrak{X}_{Kus}$ is saturated with unconditional basic sequences."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.06506","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"}