{"paper":{"title":"Factorization and Reflexivity on Fock spaces","license":"","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Alvaro Arias, Gelu Popescu","submitted_at":"1994-04-14T16:07:37Z","abstract_excerpt":"The framework of the paper is that of the full Fock space ${\\Cal F}^2({\\Cal H}_n)$ and the Banach algebra $F^\\infty$ which can be viewed as non-commutative analogues of the Hardy spaces $H^2$ and $H^\\infty$ respectively.\n  An inner-outer factorization for any element in ${\\Cal F}^2({\\Cal H}_n)$ as well as characterization of invertible elements in $F^\\infty$ are obtained. We also give a complete characterization of invariant subspaces for the left creation operators $S_1,\\cdots, S_n$ of ${\\Cal F}^2({\\Cal H}_n)$. This enables us to show that every weakly (strongly) closed unital subalgebra of $"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9404209","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"}