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Dans la suite on montre pour le couple d'interpolation $(C_0,C_1)$ trouv\\'e par Garling-Smith qu'il existe un isomorphisme $U_\\theta: (C_0,C_0+C_1)_{\\theta ,p}\\rightarrow (C_1,C_0+C_1)_{\\theta, p}$ (resp. $U_\\theta : (C_0,C_0+C_1)_\\theta \\rightarrow (C_1,C_0+C_1)_\\theta)$ tel que sa restriction \\`a $C_{\\theta, p}$ (resp. \\`a $C_\\theta)$ est un isomorphisme : $C_{\\theta, p} \\rightarrow C_{1-\\theta, p}$ (resp. $C_\\theta \\rightarrow C_{1-\\theta })$.\n  --\n  In this work we show th","authors_text":"Mohammad Daher","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2019-08-08T08:55:34Z","title":"Two remarks on the interpolation space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.02977","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:ee028ea88c45562a2bc66a16e3650212b965c5563999efec0b91b91c3994e070","target":"record","created_at":"2026-07-04T23:56:36Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"e9cbca750e55fc27489d505e0c9228c098ce52250ffe52e154b2c65eaf9a2397","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2019-08-08T08:55:34Z","title_canon_sha256":"8760d379c7cadd2166089878589d135124b9820a9bc0d3e9f61a8951a12fb061"},"schema_version":"1.0","source":{"id":"1908.02977","kind":"arxiv","version":2}},"canonical_sha256":"ce8b103e03110755e2d773f33c7cc5be274bc99ac423ef7f25f54dd94033b96e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ce8b103e03110755e2d773f33c7cc5be274bc99ac423ef7f25f54dd94033b96e","first_computed_at":"2026-07-04T23:56:36.187953Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T23:56:36.187953Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nFmlZ5lIYdUhwBXVh3wneeM/vIS2T8RI55vWquC5xK9hQMnqYHpS7nM9hx4E9wZhrk1mPbkJoBVgkVr8Rki0BA==","signature_status":"signed_v1","signed_at":"2026-07-04T23:56:36.188402Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.02977","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ee028ea88c45562a2bc66a16e3650212b965c5563999efec0b91b91c3994e070","sha256:45edf6ae7541e383305c11d8036b1137e44574811ce62809e2f89e65d654ccf1"],"state_sha256":"0f6642cb6596f8d337ef4a303ea016a6d36f5c6da18b0e74e19535f7e59326b2"}