Star order on operator and function algebras and its nonlinear preservers

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F16%3A00303478" target="_blank" >RIV/68407700:21230/16:00303478 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1080/03081087.2016.1164661" target="_blank" >http://dx.doi.org/10.1080/03081087.2016.1164661</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1080/03081087.2016.1164661" target="_blank" >10.1080/03081087.2016.1164661</a>

Result language
angličtina
Original language name
Star order on operator and function algebras and its nonlinear preservers
Original language description
The aim of this paper is to study the star order on operator and function algebras. It is shown that the infimum problem and the supremum problem on algebras of continuous functions have negative answer in general. Furthermore, we give a description of certain nonlinear star order isomorphisms between-algebras. Finally, we describe general star order isomorphisms on normal parts of matrix algebras and atomic von Neumann algebras.
Czech name
—
Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
<a href="/en/project/GAP201%2F12%2F0290" target="_blank" >GAP201/12/0290: Topological and geometrical properties of Banach spaces and operator algebras</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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