{"paper":{"title":"Spectral characterization of sums of commutators II","license":"","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Kenneth J. Dykema, Nigel J. Kalton","submitted_at":"1997-09-08T00:00:00Z","abstract_excerpt":"For countably generated ideals, $\\Jc$, of $B(\\Hil)$, geometric stability is necessary for the canonical spectral characterization of sums of $(\\Jc,B(\\Hil))$--commutators to hold. This answers a question raised by Dykema, Figiel, Weiss and Wodzicki. There are some ideals, $\\Jc$, having quasi--nilpotent elements that are not sums of $(\\Jc,B(\\Hil))$--commutators. Also, every trace on every geometrically stable ideal is a spectral trace."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9709208","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"}