Isomorphisms of spectral lattices

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F22%3A00363333" target="_blank" >RIV/68407700:21230/22:00363333 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s43037-022-00214-5" target="_blank" >https://doi.org/10.1007/s43037-022-00214-5</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s43037-022-00214-5" target="_blank" >10.1007/s43037-022-00214-5</a>

Result language
angličtina
Original language name
Isomorphisms of spectral lattices
Original language description
The paper deals with spectral order isomorphisms between certain spectral sublattices of direct sums of AW*-factors. We prove that these maps consist of spectral order isomorphisms between spectral sublattices of individual direct summands. Consequently, we obtain a complete description of spectral order isomorphisms in the case of atomic AW*-algebras. This includes the setting of matrix algebras. Moreover, we also exhibit the general form of spectral order orthoisomorphisms between various spectral sublattices of direct sums of AW*-factors.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science 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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