Additivity of Quadratic Maps on JB Algebras

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F19%3A00334750" target="_blank" >RIV/68407700:21230/19:00334750 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1134/S1995080219100123" target="_blank" >https://doi.org/10.1134/S1995080219100123</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1134/S1995080219100123" target="_blank" >10.1134/S1995080219100123</a>

Result language
angličtina
Original language name
Additivity of Quadratic Maps on JB Algebras
Original language description
The problem of automatic additivity of Jordan type homomorphisms has received a great deal of attention in theory of operator algebras as well in ring theory. We study additivity of quadratic maps, that is the maps between Jordan Banach algebras that preserve the quadratic product (a, b) -> aba. The main result shows that any continuous quadratic bijective map between unital Jordan Banach algebras that is linear on associative subalgebras is automatically additive. This contributes to the Borification program in quantum theory and Mackey-Gleason problem on linearity of quasi-linear maps.
Czech name
—
Czech description
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Type
J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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