{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:25DU2CQMP5ZZM536MKNCY46CE4","short_pith_number":"pith:25DU2CQM","schema_version":"1.0","canonical_sha256":"d7474d0a0c7f7396777e629a2c73c227282e5083fe7aacd08c3af03e28b51cce","source":{"kind":"arxiv","id":"1907.06003","version":1},"attestation_state":"computed","paper":{"title":"Further Inequalities 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":"H. R. Moradi, P. Harikrishnan, S. Furuichi, S. Tafazoli","submitted_at":"2019-07-13T03:20:00Z","abstract_excerpt":"In this article, we present some new inequalities for numerical radius of Hilbert space operators via convex functions. Our results generalize and improve earlier results by El-Haddad and Kittaneh. Among several results, we show that if $A\\in \\mathbb{B}\\left( \\mathcal{H} \\right)$ and $r\\ge 2$, then \\[{{w}^{r}}\\left( A \\right)\\le {{\\left\\| A \\right\\|}^{r}}-\\underset{\\left\\| x \\right\\|=1}{\\mathop{\\inf }}\\,{{\\left\\| {{\\left| \\left| A \\right|-w\\left( A \\right) \\right|}^{\\frac{r}{2}}}x \\right\\|}^{2}}\\] where $w\\left( \\cdot \\right)$ and $\\left\\| \\cdot \\right\\|$ denote the numerical radius and usual "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1907.06003","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2019-07-13T03:20:00Z","cross_cats_sorted":[],"title_canon_sha256":"50e92f28d589ad46ef9a048d69cf980a9c8eab63c4b6eaadfe863e32eec87e8b","abstract_canon_sha256":"c6828c2bd2c08fb10dd0459bd68f3d6c4daaf44e8ac3c4b97926b95331f7b5fe"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:40:42.698712Z","signature_b64":"ZNC2lRQbCN3JplO4GUAvwNwqCbaRKa5C38kanoVT0F/E3H9/C3gnFtoHLjN21ebJBk/L0uejQJnnfF+0Oc/hCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d7474d0a0c7f7396777e629a2c73c227282e5083fe7aacd08c3af03e28b51cce","last_reissued_at":"2026-05-17T23:40:42.698007Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:40:42.698007Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Further Inequalities 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":"H. R. Moradi, P. Harikrishnan, S. Furuichi, S. Tafazoli","submitted_at":"2019-07-13T03:20:00Z","abstract_excerpt":"In this article, we present some new inequalities for numerical radius of Hilbert space operators via convex functions. Our results generalize and improve earlier results by El-Haddad and Kittaneh. Among several results, we show that if $A\\in \\mathbb{B}\\left( \\mathcal{H} \\right)$ and $r\\ge 2$, then \\[{{w}^{r}}\\left( A \\right)\\le {{\\left\\| A \\right\\|}^{r}}-\\underset{\\left\\| x \\right\\|=1}{\\mathop{\\inf }}\\,{{\\left\\| {{\\left| \\left| A \\right|-w\\left( A \\right) \\right|}^{\\frac{r}{2}}}x \\right\\|}^{2}}\\] where $w\\left( \\cdot \\right)$ and $\\left\\| \\cdot \\right\\|$ denote the numerical radius and usual "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.06003","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1907.06003","created_at":"2026-05-17T23:40:42.698132+00:00"},{"alias_kind":"arxiv_version","alias_value":"1907.06003v1","created_at":"2026-05-17T23:40:42.698132+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.06003","created_at":"2026-05-17T23:40:42.698132+00:00"},{"alias_kind":"pith_short_12","alias_value":"25DU2CQMP5ZZ","created_at":"2026-05-18T12:33:07.085635+00:00"},{"alias_kind":"pith_short_16","alias_value":"25DU2CQMP5ZZM536","created_at":"2026-05-18T12:33:07.085635+00:00"},{"alias_kind":"pith_short_8","alias_value":"25DU2CQM","created_at":"2026-05-18T12:33:07.085635+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/25DU2CQMP5ZZM536MKNCY46CE4","json":"https://pith.science/pith/25DU2CQMP5ZZM536MKNCY46CE4.json","graph_json":"https://pith.science/api/pith-number/25DU2CQMP5ZZM536MKNCY46CE4/graph.json","events_json":"https://pith.science/api/pith-number/25DU2CQMP5ZZM536MKNCY46CE4/events.json","paper":"https://pith.science/paper/25DU2CQM"},"agent_actions":{"view_html":"https://pith.science/pith/25DU2CQMP5ZZM536MKNCY46CE4","download_json":"https://pith.science/pith/25DU2CQMP5ZZM536MKNCY46CE4.json","view_paper":"https://pith.science/paper/25DU2CQM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1907.06003&json=true","fetch_graph":"https://pith.science/api/pith-number/25DU2CQMP5ZZM536MKNCY46CE4/graph.json","fetch_events":"https://pith.science/api/pith-number/25DU2CQMP5ZZM536MKNCY46CE4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/25DU2CQMP5ZZM536MKNCY46CE4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/25DU2CQMP5ZZM536MKNCY46CE4/action/storage_attestation","attest_author":"https://pith.science/pith/25DU2CQMP5ZZM536MKNCY46CE4/action/author_attestation","sign_citation":"https://pith.science/pith/25DU2CQMP5ZZM536MKNCY46CE4/action/citation_signature","submit_replication":"https://pith.science/pith/25DU2CQMP5ZZM536MKNCY46CE4/action/replication_record"}},"created_at":"2026-05-17T23:40:42.698132+00:00","updated_at":"2026-05-17T23:40:42.698132+00:00"}