Show simple item record Hamhalter J. Turilova E. 2020-01-21T20:54:27Z 2020-01-21T20:54:27Z 2019
dc.identifier.issn 1995-0802
dc.description.abstract © 2019, Pleiades Publishing, Ltd. 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.
dc.relation.ispartofseries Lobachevskii Journal of Mathematics
dc.subject automatic additivity
dc.subject JB algebras
dc.subject quadratic maps
dc.title Additivity of Quadratic Maps on JB Algebras
dc.type Article
dc.relation.ispartofseries-issue 10
dc.relation.ispartofseries-volume 40
dc.collection Публикации сотрудников КФУ
dc.relation.startpage 1483 SCOPUS19950802-2019-40-10-SID85073503714

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  • Публикации сотрудников КФУ Scopus [24551]
    Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.

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