Structure of abelian parts of C*-algebras and its preservers

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F18%3A00322039" target="_blank" >RIV/68407700:21230/18:00322039 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.14232/actasm-017-582-8" target="_blank" >http://dx.doi.org/10.14232/actasm-017-582-8</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.14232/actasm-017-582-8" target="_blank" >10.14232/actasm-017-582-8</a>

Result language
angličtina
Original language name
Structure of abelian parts of C*-algebras and its preservers
Original language description
The context poset of Abelian C*-subalgebras of a given C*-algebra is an operator theoretic invariant of growing interest. We review recent results describing order isomorphisms between context posets in terms of Jordan type maps (linear or not) between important types of operator algebras. We discuss the important role of the generalized Gleason theorem on linearity of maps preserving linear combinations of commuting elements for studying symmetries of context posets. Related results on maps multiplicative with respect to commuting elements are investigated.
Czech name
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Czech description
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Project
<a href="/en/project/GA17-00941S" target="_blank" >GA17-00941S: Topological and geometrical properties of Banach spaces and operator algebras II</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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