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Title:Reflexivity defect of spaces of linear operators
Authors:ID Bračič, Janko (Author)
ID Kuzma, Bojan (Author)
Files:URL http://dx.doi.org/10.1016/j.laa.2008.07.024
 
Language:English
Work type:Not categorized
Typology:1.01 - Original Scientific Article
Organization:IAM - Andrej Marušič Institute
Abstract:For a finite-dimensional linear subspace ▫{\mathscr{S}} \subseteq {\mathscr{L}} (V,W)\mathscr{S}} \subseteq {\mathscr{L}} (V,W)▫ and a positive integer k, the k-reflexivity defect of S is defined by rdk(S)=dim(Refk(S)/S) where Refk is the k-reflexive closure of 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
Year of publishing:2009
Number of pages:str. 344-359
Numbering:Vol. 430, iss. 1
PID:20.500.12556/RUP-7728 This link opens in a new window
ISSN:0024-3795
UDC:517.983:512.643
DOI:10.1016/j.laa.2008.07.024 This link opens in a new window
COBISS.SI-ID:14977369 This link opens in a new window
Publication date in RUP:03.04.2017
Views:2744
Downloads:196
Metadata:XML DC-XML DC-RDF
:
BRAČIČ, Janko and KUZMA, Bojan, 2009, Reflexivity defect of spaces of linear operators. [online]. 2009. Vol. 430, no. 1, p. 344–359. [Accessed 3 April 2025]. DOI 10.1016/j.laa.2008.07.024. Retrieved from: http://dx.doi.org/10.1016/j.laa.2008.07.024
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Secondary language

Language:Slovenian
Title:Refleksivnostni defekt prostorov linearnih operatorjev
Abstract:Za končnodimenzionalen linearen prostor SL(V,W) in naravno število k je k-refleksivnostni defekt prostora S definiran kot rdk(S)=dim(Refk(S)/S), pri čemer je Refk k-refleksivnostno zaprtje za S. V članku izračunamo refleksivnostni defekt za dvodimenzionalne prostore operatorjev, za algebre generirane z enim operatorjem in za njihove komutante.
Keywords:matematika, teorija operatorjev, refleksivnost, refleksivnostni defekt, dvodimenzionalen prostor operatorjev, algebra generirana z enim operatorjem, komutant


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