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If $H$ is zero product preserving on positive elements in $B_A(0;r)$, we show, in the commutative case when $A=C_0(X)$ and $B=C_0(Y)$, that there exist weight functions $h_n$'s and a symbol map $\\varphi: Y\\to X$ such that $$ H(f)=\\sum_{n\\geq1} h_n (f\\circ\\varphi)^n, \\quad\\forall f\\in B_{C_0(X)}(0;r). $$ In the general case, we show that if $H$ is also conformal then there exist central multipliers $h_n$'s of $B$ and a surjective Jordan iso"},"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":"1512.07714","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2015-12-24T04:45:31Z","cross_cats_sorted":["math.FA"],"title_canon_sha256":"cd3e4c26b7ed36c62955baa7793490e6864724c637a0186082db759c4f0a92a2","abstract_canon_sha256":"fb60095e5d9023588e2c664b6b505e7dae70cff7d816145f62fc81c47fbaf350"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:23:48.685632Z","signature_b64":"sQysMotdEGa1ikx8NjjYXUmZqkPWsbFlpG8ls1qAekpLaaIC4rGLUYMX/HZzBAD93uTVxoCFVeAj3wcsCn+GBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d8baae6242a09fb3d2bcdb5f015fc6bf99a9416aa6c30f7d160ec2e1cf78a8e9","last_reissued_at":"2026-05-18T01:23:48.684985Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:23:48.684985Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Orthogonally additive holomorphic maps between C*-algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.OA","authors_text":"Ming-Hsiu Hsu, Ngai-Ching Wong, Qingying Bu","submitted_at":"2015-12-24T04:45:31Z","abstract_excerpt":"Let $A,B$ be C*-algebras, $B_A(0;r)$ the open ball in $A$ centered at $0$ with radius $r>0$, and $H:B_A(0;r)\\to B$ an orthogonally additive holomorphic map. 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