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Weak-2-local isometries on uniform algebras and Lipschitz algebras

dc.contributor.authorLi, Lei
dc.contributor.authorPeralta Pereira, Antonio Miguel 
dc.contributor.authorWang, Liguang
dc.contributor.authorWang, Ya-Shu
dc.date.accessioned2020-02-06T08:53:06Z
dc.date.available2020-02-06T08:53:06Z
dc.date.issued2019
dc.identifier.citationLi, L., Peralta, A. M., Wang, L., & Wang, Y. S. (2019). Weak-2-local isometries on uniform algebras and Lipschitz algebras. Publicacions Matemàtiques, 63(1), 241-264.es_ES
dc.identifier.urihttp://hdl.handle.net/10481/59468
dc.description.abstractWe establish spherical variants of the Gleason-Kahane-Zelazko and Kowalski-Slodkowski theorems, and we apply them to prove that every weak-2-local isometry between two uniform algebras is a linear map. Among the consequences, we solve a couple of problems posed by O. Hatori, T. Miura, H. Oka, and H. Takagi in 2007.es_ES
dc.description.sponsorshipL. Li was partly supported by NSF of China project no. 11301285. A. M. Peralta was partially supported by the Spanish Ministry of Economy and Competitiveness and European Re- gional Development Fund project no. MTM2014-58984-P and Junta de Andalucía grant FQM375. L. Wang was partly supported by NSF of China Grants No. 11371222, 11871303, and 11671133. Y.-S. Wang was partly supported by Taiwan MOST 104-2115-M-005-001-MY2.es_ES
dc.language.isoenges_ES
dc.publisherUniversitat Autònoma de Barcelonaes_ES
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 España*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/*
dc.titleWeak-2-local isometries on uniform algebras and Lipschitz algebrases_ES
dc.typejournal articlees_ES
dc.rights.accessRightsopen accesses_ES
dc.identifier.doi10.5565/PUBLMAT6311908


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