Показать сокращенную информацию
dc.contributor.author | Turilova E. | |
dc.contributor.author | Hamhalter J. | |
dc.date.accessioned | 2021-02-25T20:51:42Z | |
dc.date.available | 2021-02-25T20:51:42Z | |
dc.date.issued | 2020 | |
dc.identifier.issn | 1995-0802 | |
dc.identifier.uri | https://dspace.kpfu.ru/xmlui/handle/net/162538 | |
dc.description.abstract | © 2020, Pleiades Publishing, Ltd. Abstract: The paper deals with quasi linear maps on two by two matrices over Banach and $$C^{\ast}$$-algebras. Let $$\varphi:A\to X$$ be a homogeneous map between Banach algebra $$A$$ and a linear space $$X$$. Let us take its amplification $$\psi=\varphi^{(2)}$$ to two by two matrix structure $$M_{2}(A)$$ over $$A$$. If $$\psi(x+x^{2})=\psi(x)+\psi(x^{2})$$ for all $$x$$, then $$\varphi$$ is linear. Ramifications for self adjoint parts of Banach $$\ast$$-algebras and $$C^{\ast}$$-algebras as well applications to Mackey–Gleason problem are given. | |
dc.relation.ispartofseries | Lobachevskii Journal of Mathematics | |
dc.subject | Banach algebras | |
dc.subject | C*-algebras | |
dc.subject | quasi linear maps | |
dc.title | Linearity of Maps on Banach and Operator Algebras | |
dc.type | Article | |
dc.relation.ispartofseries-issue | 3 | |
dc.relation.ispartofseries-volume | 41 | |
dc.collection | Публикации сотрудников КФУ | |
dc.relation.startpage | 435 | |
dc.source.id | SCOPUS19950802-2020-41-3-SID85088363711 |