Reflexivity defect of spaces of linear operatorsBračič, Janko (Avtor) Kuzma, Bojan (Avtor) mathematicsoperator theoryreflexivity defectreflexivitytwo-dimensional space of operatorssingle generated algebracommutantFor 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.20092016-04-08 16:46:40Delo ni kategorizirano7728sl