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We also prove that $L(Y,X)$ is octahedral for every $Y$ if, and only if, $L(\\ell_p^n,X)$ is octahedral for every $n\\in\\mathbb N$ and $1<p<\\infty$. Finally, we find examples of Banach spaces satisfying the above conditions like $\\Lip(M)$ spaces with octahedral norms or $L_1$-preduals with the Daugavet propert"},"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":"2207.08717","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2022-07-18T16:02:43Z","cross_cats_sorted":[],"title_canon_sha256":"7cd07318c32446f2cda7541419d912f820470c2432d15c4f0bf4b8ac3dbd7231","abstract_canon_sha256":"903d59615b0cea178bf3a9349e1e79ddc6ffa60cb8cbdea9c097a48f30b619ad"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:24:12.885188Z","signature_b64":"wmuLsCnAp2BXFC4Gxs37F8iC/rLHe4jU8ITudmbTqiPDUftBiRMvWB+TYHt8q7j4M4i3IeizbTYXtjYtrztSDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c960345cc1ba9e06ce59f0e4c088edd1e6af0b93841257dc36bebbd265df85ce","last_reissued_at":"2026-07-05T05:24:12.884730Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:24:12.884730Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Banach spaces which always produce octahedral spaces of operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Abraham Rueda Zoca","submitted_at":"2022-07-18T16:02:43Z","abstract_excerpt":"We characterise those Banach spaces $X$ which satisfy that $L(Y,X)$ is octahedral for every non-zero Banach space $Y$. 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