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 |
|