{"paper":{"title":"An Alternative Estimate for the Numerical Radius of Hilbert Space Operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"B. Moosavi, H.R. Moradi, M. Shah Hosseini","submitted_at":"2018-05-24T09:34:25Z","abstract_excerpt":"We give an alternative lower bound for the numerical radii of Hilbert space operators. As a by-product, we find conditions such that\n  \\begin{equation*} \\omega\\left(\\left[\\begin{array}{cc} 0 & R \\\\ S & 0 \\end{array}\\right]\\right)=\\frac{\\Vert R \\Vert +\\Vert S\\Vert }{2} \\end{equation*} where $R, S \\in \\mathbb{B}(\\mathcal{H})$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.09569","kind":"arxiv","version":4},"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"}