{"paper":{"title":"Pointwise-generalized-inverses of linear maps between C$^*$-algebras and JB$^*$-triples","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Ahlem Ben Ali Essaleh, Antonio M. Peralta, Mar\\'Ia Isabel Ram\\'Irez","submitted_at":"2017-03-30T16:39:39Z","abstract_excerpt":"We study pointwise-generalized-inverses of linear maps between C$^*$-algebras. Let $\\Phi$ and $\\Psi$ be linear maps between complex Banach algebras $A$ and $B$. We say that $\\Psi$ is a pointwise-generalized-inverse of $\\Phi$ if $\\Phi(aba)=\\Phi(a)\\Psi(b)\\Phi(a),$ for every $a,b\\in A$. The pair $(\\Phi,\\Psi)$ is Jordan-triple multiplicative if $\\Phi$ is a pointwise-generalized-inverse of $\\Psi$ and the latter is a pointwise-generalized-inverse of $\\Phi$. We study the basic properties of this maps in connection with Jordan homomorphism, triple homomorphisms and strongly preservers. We also determi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.10560","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"}