{"paper":{"title":"On the chaoticity of some tensor product weighted backward shift operators acting on some tensor product Fock-Bargmann spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"A. Intissar","submitted_at":"2014-06-04T20:16:39Z","abstract_excerpt":"In Advances in Mathematical Physics (2011) we showed that the weighted shift $z^{p}\\frac{d^{p+1}}{dz^{p+1}}$ $(p=0, 1, 2, ...)$ acting on classical Bargmann space $\\mathbb{B}_{p}$ is chaotic operator. In Journal of Mathematical physics (2014), we constructed an chaotic weighted shift $\\mathbb{M}^{*^{p}}\\mathbb{M}^{p+1}$ $(p=0, 1, 2, ...)$ on some lattice Fock-Bargmann $\\mathbb{E}_{p}^{\\alpha}$ generated by the orthonormal basis $e_{m}^{(\\alpha,p)}(z) = e_{m}^{\\alpha} ; m=p, p+1, ...$ where $e_{m}^{\\alpha}(z) = (\\frac{2\\nu}{\\pi})^{1/4}e^{\\frac{\\nu}{2}z^{2}}e^{-\\frac{\\pi^{2}}{\\nu}(m +\\alpha)^{2}"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.1201","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"}