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4. Reflexivity defect of spaces of linear operatorsJanko 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: 2137; Downloads: 193
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10. More language(s) - more space(s)? : reflections on the representation of heteroglossia and minority languages in the Alpe-Adria regionNada Zerzer, 2009, original scientific article Abstract: This article addresses the issue how heteroglossic people in the three regions of Carinthia, Primorska, and the Trst/Trieste region experience their multilingualism and its representations in everyday day life. The approach is transdisciplinary and includes theory and methods from fields of political theory, sociology of space, sociolinguistics, ethnography, visual cultures and multimodal discourse analysis. The research focus is on social constructions of space, created by heteroglossic people in their everyday life and by the representations of the languages in their living environment. This article wants to take a closer look at life with - or in - heteroglossia and at possible integrative handling of it
Keywords: heteroglossia, public space, representation, language minorities, ethnic minorities, visual culture, geosemiotics, Alpe-Adria region
Published in RUP: 10.07.2015; Views: 3284; Downloads: 34
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