{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:GCY4Q67APPXTONFAO54S7S52JY","short_pith_number":"pith:GCY4Q67A","schema_version":"1.0","canonical_sha256":"30b1c87be07bef3734a077792fcbba4e1e7dafebc6d4f44b43328fea0fd7086d","source":{"kind":"arxiv","id":"1601.04282","version":1},"attestation_state":"computed","paper":{"title":"Topological Invariant Means on dual Space of Multiplier algebra and weakly compact Multiplier on Herz-algebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Ali Rejali, Headar Ghaeid Amini","submitted_at":"2016-01-17T12:15:32Z","abstract_excerpt":"In this paper we investigate the compact and weakly compact multipliers of the Herz-algebras $A_p(G)$. Let $B_p(G)$ be the space of pointwise multipliers of $A_p(G)$. We show that there is a topological invariant mean on $B^*_p (G)$. Furthermore, we show that if $B^*_p(G)$ is separable, then $G$ is a discrete group."},"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":"1601.04282","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2016-01-17T12:15:32Z","cross_cats_sorted":[],"title_canon_sha256":"35e3856e74ff125772d61b9866485f964f9da62720368293a6e2fb1f058d1064","abstract_canon_sha256":"2d1dc63d75102bb65dba43ce0f777ee6f2a01eaaea55341c7c34b526a934c6b1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:22:45.433427Z","signature_b64":"oAU4KvnUEoJohzVjlS7E1dS6gK8KzvQNxwOLQWTuM+hS+yyV8wcprrF53zdqxjW2eICJxJhjJ1htwR/iEI0fBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"30b1c87be07bef3734a077792fcbba4e1e7dafebc6d4f44b43328fea0fd7086d","last_reissued_at":"2026-05-18T01:22:45.432962Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:22:45.432962Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Topological Invariant Means on dual Space of Multiplier algebra and weakly compact Multiplier on Herz-algebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Ali Rejali, Headar Ghaeid Amini","submitted_at":"2016-01-17T12:15:32Z","abstract_excerpt":"In this paper we investigate the compact and weakly compact multipliers of the Herz-algebras $A_p(G)$. Let $B_p(G)$ be the space of pointwise multipliers of $A_p(G)$. We show that there is a topological invariant mean on $B^*_p (G)$. Furthermore, we show that if $B^*_p(G)$ is separable, then $G$ is a discrete group."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.04282","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":"1601.04282","created_at":"2026-05-18T01:22:45.433025+00:00"},{"alias_kind":"arxiv_version","alias_value":"1601.04282v1","created_at":"2026-05-18T01:22:45.433025+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.04282","created_at":"2026-05-18T01:22:45.433025+00:00"},{"alias_kind":"pith_short_12","alias_value":"GCY4Q67APPXT","created_at":"2026-05-18T12:30:19.053100+00:00"},{"alias_kind":"pith_short_16","alias_value":"GCY4Q67APPXTONFA","created_at":"2026-05-18T12:30:19.053100+00:00"},{"alias_kind":"pith_short_8","alias_value":"GCY4Q67A","created_at":"2026-05-18T12:30:19.053100+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/GCY4Q67APPXTONFAO54S7S52JY","json":"https://pith.science/pith/GCY4Q67APPXTONFAO54S7S52JY.json","graph_json":"https://pith.science/api/pith-number/GCY4Q67APPXTONFAO54S7S52JY/graph.json","events_json":"https://pith.science/api/pith-number/GCY4Q67APPXTONFAO54S7S52JY/events.json","paper":"https://pith.science/paper/GCY4Q67A"},"agent_actions":{"view_html":"https://pith.science/pith/GCY4Q67APPXTONFAO54S7S52JY","download_json":"https://pith.science/pith/GCY4Q67APPXTONFAO54S7S52JY.json","view_paper":"https://pith.science/paper/GCY4Q67A","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1601.04282&json=true","fetch_graph":"https://pith.science/api/pith-number/GCY4Q67APPXTONFAO54S7S52JY/graph.json","fetch_events":"https://pith.science/api/pith-number/GCY4Q67APPXTONFAO54S7S52JY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GCY4Q67APPXTONFAO54S7S52JY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GCY4Q67APPXTONFAO54S7S52JY/action/storage_attestation","attest_author":"https://pith.science/pith/GCY4Q67APPXTONFAO54S7S52JY/action/author_attestation","sign_citation":"https://pith.science/pith/GCY4Q67APPXTONFAO54S7S52JY/action/citation_signature","submit_replication":"https://pith.science/pith/GCY4Q67APPXTONFAO54S7S52JY/action/replication_record"}},"created_at":"2026-05-18T01:22:45.433025+00:00","updated_at":"2026-05-18T01:22:45.433025+00:00"}