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105. Mappings that preserve pairs of operators with zero triple Jordan productMirko Dobovišek, Bojan Kuzma, Gorazd Lešnjak, Chi-Kwong Li, Tatjana Petek, 2007, izvirni znanstveni članek 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.
Ključne besede: matrix algebra, Jordan triple product, nonlinear preservers
Objavljeno v RUP: 03.04.2017; Ogledov: 2528; Prenosov: 97
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106. Diverzifikacija morskega ribištva v turistično dejavnost na slovenski obaliTanja Mihalič, Gorazd Sedmak, Saša Planinc, Janez Bogataj, Matic Jeločnik Pelicon, 2014, izvirni znanstveni članek Opis: Diverzifikacija morskega ribištva v turistično dejavnost na slovenski obali
Ključne besede: turizem, ribištvo, diverzifikacija dejavnosti, slovenska obala, Obala, Slovenija
Objavljeno v RUP: 03.04.2017; Ogledov: 2849; Prenosov: 34
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