Nonlinear maps on von Neumann algebras preserving the star order

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F13%3A00206171" target="_blank" >RIV/68407700:21230/13:00206171 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1080/03081087.2012.721363" target="_blank" >http://dx.doi.org/10.1080/03081087.2012.721363</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1080/03081087.2012.721363" target="_blank" >10.1080/03081087.2012.721363</a>

Result language
angličtina
Original language name
Nonlinear maps on von Neumann algebras preserving the star order
Original language description
Star order is defined on a C*-algebra in the following way: a {precedes above single-line equals sign} b if a*a = a*b and aa* = ba*. Let A{script} be a von Neumann algebra without Type I2 direct summand. Let A{script}n be the set of all normal elements of A{script}. Suppose that ?{symbol}: A{script}n -> A{script}n is a continuous bijection that preserves the star order on A{script}n in both directions. Further, let there is a function f: ? -> ? and an invertible central element c in A{script} such that?{symbol}(?1) = f(?)c for all ? element ?. We show that there is a unique Jordan *-isomorphism ?: A{script} -> A{script} such that Ramifications of this result as well as optimality of the assumptions are discussed
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
S - Specificky vyzkum na vysokych skolach

Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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