Continuous Preservers of Range Orthogonality between C*-Algebras

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F22%3A00363360" target="_blank" >RIV/68407700:21230/22:00363360 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1134/S1995080222100146" target="_blank" >https://doi.org/10.1134/S1995080222100146</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1134/S1995080222100146" target="_blank" >10.1134/S1995080222100146</a>

Result language
angličtina
Original language name
Continuous Preservers of Range Orthogonality between C*-Algebras
Original language description
We introduce new concept of algebraic *-orthogonality for maps between C*-algebras. We show that in case of bounded linear maps the algebraic*-orthogonality is equivalent to the property of preserving range orthogonality. Since algebraic orthogonality passes easily to the second dual, using spectral theory of von Neumann algebras we show canonical form of range orthogonality preservers in a relative short and lucid way.
Czech name
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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
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/EF16_019%2F0000778" target="_blank" >EF16_019/0000778: Center for advanced applied science</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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