{"paper":{"title":"Column extreme multipliers of the Free Hardy space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.OA","authors_text":"Michael T. Jury, Robert T.W. Martin","submitted_at":"2018-07-22T21:31:07Z","abstract_excerpt":"The full Fock space over $\\mathbb C ^d$ can be identified with the free Hardy space, $H^2 (\\mathbb B ^d _\\mathbb N)$ - the unique non-commutative reproducing kernel Hilbert space corresponding to a non-commutative Szeg\\\"{o} kernel on the non-commutative, multi-variable open unit ball $\\mathbb B ^d _\\mathbb N := \\bigsqcup _{n=1} ^\\infty \\left( \\mathbb C^{n\\times n} \\otimes \\mathbb C ^d \\right) _1$.\n  Elements of this space are free or non-commutative functions on $\\mathbb B ^d _\\mathbb N$. Under this identification, the full Fock space is the canonical non-commutative and several-variable analo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.08371","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"}