{"paper":{"title":"Extension of Euclidean operator radius inequalities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OA"],"primary_cat":"math.FA","authors_text":"K. Shebrawi, M. Sattari, M.S. Moslehian","submitted_at":"2015-01-31T08:41:32Z","abstract_excerpt":"To extend the Euclidean operator radius, we define $w_p$ for an $n$-tuples of operators $(T_1,\\ldots, T_n)$ in $\\mathbb{B}(\\mathscr{H})$ by $w_p(T_1,\\ldots,T_n):= \\sup_{\\| x \\| =1} \\left(\\sum_{i=1}^{n}| \\langle T_i x, x \\rangle |^p \\right)^{\\frac1p}$ for $p\\geq1$. We generalize some inequalities including Euclidean operator radius of two operators to those involving $w_p$. Further we obtain some lower and upper bounds for $w_p$. Our main result states that if $f$ and $g$ are nonnegative continuous functions on $\\left[ 0,\\infty \\right) $ satisfying $f\\left( t\\right) g\\left(t\\right) =t$ for all "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.00083","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"}