{"paper":{"title":"Composition of operator ideals and their regular hulls","license":"","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Frank Oertel","submitted_at":"1996-04-24T00:00:00Z","abstract_excerpt":"Given two quasi-Banach ideals \\oid{A}{}{} and \\oid{B}{}{} we investigate the regular hull of their composition - $(\\oid{A}{}{} \\circ \\oid{B}{}{})^{reg}$. In concrete situations this regular hull appears more often than the composition itself. As a first example we obtain a description for the regular hull of the nuclear operators which is a \"reflected\" Grothendieck representation:\\\\ $\\oid{N}{}{reg} \\stackrel{1}{=} \\oid{I}{}{} \\circ \\oid{W}{}{}$ (theorem 2.1). Further we recognize that the class of such ideals leads to interesting relations concerning the question of the accessibility of (injec"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9604219","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"}