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Title:Tracial numerical ranges and linear dependence of operators
Authors:ID Kuzma, Bojan (Author)
ID Li, Chi-Kwong (Author)
ID Rodman, Leiba (Author)
Files:URL http://www.math.technion.ac.il/iic/ela/ela-articles/articles/vol22_pp22-52.pdf
 
Language:English
Work type:Not categorized
Typology:1.01 - Original Scientific Article
Organization:IAM - Andrej Marušič Institute
Abstract:Pokazano je, da lahko linearno odvisnost dveh operatorjev na Hilbertovem prostoru preverimo s pomočjo identičnosti v modulu dane sesquilinearne oz. kvadratične forme, pridružene operatorjema. Forme so bazirane na posplošenih numeričnih zakladih.
Keywords:matematika, linearna algebra, teorija operatorjev, Hilbertov prostor, linearni operatorji, linearna odvisnost, posplošen numerični zaklad
Year of publishing:2011
Number of pages:str. 22-52
Numbering:Vol. 22
PID:20.500.12556/RUP-1032 This link opens in a new window
ISSN:1081-3810
UDC:512.643
COBISS.SI-ID:16068185 This link opens in a new window
Publication date in RUP:15.10.2013
Views:4354
Downloads:240
Metadata:XML DC-XML DC-RDF
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Secondary language

Language:Unknown
Abstract:Linear dependence of two Hilbert space operators is expressed in terms of equality in modulus of certain sesquilinear and quadratic forms associated with the operators. The forms are based on generalized numerical ranges.
Keywords:mathematics, linear algebra, Hilbert space, linear operators, linear dependence, generalized numerical range


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