Extension of isometries from the unit sphere of a rank-2 Cartan factor

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F21%3A10436701" target="_blank" >RIV/00216208:11320/21:10436701 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=NH3qv2K3lL" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=NH3qv2K3lL</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s13324-020-00448-2" target="_blank" >10.1007/s13324-020-00448-2</a>

Result language
angličtina
Original language name
Extension of isometries from the unit sphere of a rank-2 Cartan factor
Original language description
We prove that every surjective isometry from the unit sphere of a rank-2 Cartan factor C onto the unit sphere of a real Banach space Y, admits an extension to a surjective real linear isometry from C onto Y. The conclusion also covers the case in which C is a spin factor. This result closes an open problem and, combined with the conclusion in a previous paper, allows us to establish that every JBW*-triple M satisfies the Mazur-Ulam property, that is, every surjective isometry from its unit sphere onto the unit sphere of a arbitrary real Banach space Y admits an extension to a surjective real linear isometry from M onto Y.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA17-00941S" target="_blank" >GA17-00941S: Topological and geometrical properties of Banach spaces and operator algebras II</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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