| Title: | Reflexivity defect of spaces of linear operators |
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| Authors: | ID Bračič, Janko (Author)
ID Kuzma, Bojan (Author) |
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| Files: |  http://dx.doi.org/10.1016/j.laa.2008.07.024
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| Language: | English |
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| Work type: | Not categorized |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | IAM - Andrej Marušič Institute
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| 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. |
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| Keywords: | mathematics, operator theory, reflexivity defect, reflexivity, two-dimensional space of operators, single generated algebra, commutant |
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| Year of publishing: | 2009 |
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| Number of pages: | str. 344-359 |
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| Numbering: | Vol. 430, iss. 1 |
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| PID: | 20.500.12556/RUP-7728  |
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| ISSN: | 0024-3795 |
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| UDC: | 517.983:512.643 |
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| DOI: | 10.1016/j.laa.2008.07.024 |
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| COBISS.SI-ID: | 14977369 |
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| Publication date in RUP: | 03.04.2017 |
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| Views: | 3292 |
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| Downloads: | 199 |
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| Metadata: |    |
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