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Reflexivity defect of spaces of linear operators
Janko Bračič, Bojan Kuzma, 2009, original scientific article

Abstract: For a finite-dimensional linear subspace ▫{$\mathscr{S}} \subseteq {\mathscr{L}} (V,W)$▫ and a positive integer ▫$k$▫, the ▫$k$▫-reflexivity defect of ▫$\mathscr{S}$▫ is defined by ▫${\mathrm{rd}}_k ({\mathscr{S}}) = \dim({\mathrm{Ref}}_k (\mathscr{S})/\mathscr{S})$▫ where ▫${\mathrm{Ref}}_k$▫ is the ▫$k$▫-reflexive closure of ▫$\mathscr{S}$▫. We study this quantity for two-dimensional spaces of operators and for single generated algebras and their commutants.
Keywords: mathematics, operator theory, reflexivity defect, reflexivity, two-dimensional space of operators, single generated algebra, commutant
Published in RUP: 03.04.2017; Views: 2073; Downloads: 193
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3.
General preservers of quasi-commutativity on self-adjoint operators
Gregor Dolinar, Bojan Kuzma, 2010, original scientific article

Abstract: Let ▫$H$▫ be a separable Hilbert space and▫ ${\mathcal B}_{sa}(H)▫$ the set of all bounded linear self-adjoint operators. We say that ▫$A, B \in {\mathcal B}_{sa}(H)$▫ quasi-commute if there exists a nonzero ▫$\xi \in \mathbb{C}$▫ suchthat ▫$AB=\xi BA$▫. Bijective maps on ▫${\mathcal B}_{sa}(H)$▫ which preserve quasi-commutativity in both directions are classified.
Keywords: mathematics, linear algebra, general preserver, self-adjoint operator, quasi-commutativity
Published in RUP: 03.04.2017; Views: 2078; Downloads: 76
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4.
Managing global changes with logistics simplified
Aleksander Janeš, Armand Faganel, Roberto Biloslavo, 2016, published scientific conference contribution abstract

Keywords: Slovenia, domestic logistic operator, business model, canvas, competence centre, sustainable innovation, media
Published in RUP: 08.08.2016; Views: 2867; Downloads: 69
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Persistence and Spread of Gastro-Intestinal Infections
Barbara Boldin, 2011, unpublished invited conference lecture

Keywords: mathematical models, within-host dynamics, operator semigroups, Escherichia coli
Published in RUP: 15.10.2013; Views: 3023; Downloads: 41
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