| Naslov: | Mappings that preserve pairs of operators with zero triple Jordan product |
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| Avtorji: | ID Dobovišek, Mirko (Avtor)
ID Kuzma, Bojan (Avtor)
ID Lešnjak, Gorazd (Avtor)
ID Li, Chi-Kwong (Avtor)
ID Petek, Tatjana (Avtor) |
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| Datoteke: |  http://dx.doi.org/10.1016/j.laa.2007.04.017
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| Jezik: | Angleški jezik |
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| Vrsta gradiva: | Delo ni kategorizirano |
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| Tipologija: | 1.01 - Izvirni znanstveni članek |
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| Organizacija: | IAM - Inštitut Andrej Marušič
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| Opis: | Let ▫$\mathbb{F}$▫ be a field and ▫$n \ge 3$▫. Suppose ▫${\mathfrak{G_1,G_2}} \subseteq M_n(\mathbb{F})▫$ contain all rank-one idempotents. The structure of surjections ▫$\phi : \mathfrak{G_1} \to \mathfrak{G_2}$▫ satisfying ▫$ABA = 0 \iff \phi(A)\phi(B)\phi(A) = 0$▫ is determined. Similar results are also obtained for (a) subsets of bounded operators acting on a complex or real Banach space, (b) the space of Hermitian matrices acting on ▫$n$▫-dimensional vectors over a skew-field, (c) subsets of self-adjoint bounded linear operators acting on an infinite dimensional complex Hilbert space. It is then illustrated that the results can be applied to characterize mappings ▫$\phi$▫ on matrices or operators such that ▫$F(ABA) = F(\phi(A)\phi(B)\phi(A))▫$ for all ▫$A,B$▫ for functions ▫$F$▫ such as the spectral norm, Schatten ▫$p$▫-norm, numerical radius and numerical range, etc. |
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| Ključne besede: | matrix algebra, Jordan triple product, nonlinear preservers |
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| Leto izida: | 2007 |
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| Št. strani: | str. 255-279 |
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| Številčenje: | Vol. 426, iss. 2-3 |
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| PID: | 20.500.12556/RUP-7714  |
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| ISSN: | 0024-3795 |
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| UDK: | 512.552 |
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| COBISS.SI-ID: | 11598870 |
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| Datum objave v RUP: | 03.04.2017 |
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| Število ogledov: | 2486 |
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| Število prenosov: | 97 |
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| Metapodatki: |     |
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