Linearity of Maps on Banach and Operator Algebras

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F20%3A00346262" target="_blank" >RIV/68407700:21230/20:00346262 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1134/S199508022003018X" target="_blank" >https://doi.org/10.1134/S199508022003018X</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1134/S199508022003018X" target="_blank" >10.1134/S199508022003018X</a>

Result language
angličtina
Original language name
Linearity of Maps on Banach and Operator Algebras
Original language description
The paper deals with quasi linear maps on two by two matrices over Banach and $$C^{ast}$$-algebras. Let $$varphi:Ato X$$ 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.
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
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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