{"paper":{"title":"Subadditive inequalities for operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Hamid Reza Moradi, Mohammad Sababheh, Zahra Heydarbeygi","submitted_at":"2019-04-26T15:00:55Z","abstract_excerpt":"In this article, we present a new subadditivity behavior of convex and concave functions, when applied to Hilbert space operators. For example, under suitable assumptions on the spectrum of the positive operators $A$ and $B$, we prove that \\[{{2}^{1-r}}{{\\left( A+B \\right)}^{r}}\\le {{A}^{r}}+{{B}^{r}}\\quad\\text{ for }r>1\\text{ and }r<0,\\] and \\[{{A}^{r}}+{{B}^{r}}\\le {{2}^{1-r}}{{\\left( A+B \\right)}^{r}}\\quad\\text{ for }r\\in \\left[ 0,1 \\right].\\] These results provide considerable generalization of earlier results by Aujla and Silva.\n  Further, we present several extensions of the subadditivit"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.11880","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"}