{"paper":{"title":"Uniform Continuity and Quantization on Bounded Symmetric Domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Nikolai Vasilevski, Raffael Hagger, Wolfram Bauer","submitted_at":"2016-11-28T11:50:37Z","abstract_excerpt":"We consider Toeplitz operators $T_f^{\\lambda}$ with symbol $f$ acting on the standard weighted Bergman spaces over a bounded symmetric domain $\\Omega\\subset \\mathbb{C}^n$. Here $\\lambda > genus-1$ is the weight parameter. The classical asymptotic semi-commutator relation $\\lim_{\\lambda \\rightarrow \\infty} \\big{\\|}T_f^{\\lambda} T_g^{\\lambda} -T_{fg}^{\\lambda} \\big{\\|}=0$ with $f,g \\in C(\\overline{\\mathbb{B}^n})$, where $\\Omega=\\mathbb{B}^n$ denotes the complex unit ball, is extended to larger classes of bounded and unbounded operator symbol-functions and to more general domains. We deal with op"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.09085","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"}