Bojan Kuzma (Author), Chi-Kwong Li (Author), Leiba Rodman (Author)

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;mathematics;linear algebra;Hilbert space;linear operators;linear dependence;generalized numerical range;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UP - University of Primorska
UDC: 512.643
COBISS: 16068185 Link will open in a new window
ISSN: 1081-3810
Views: 3576
Downloads: 230
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Other data

Secondary language: Unknown
Secondary title: Numerični zakladi porojeni iz sledi in linearna odvisnost operatorjev
Secondary 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.
Secondary keywords: mathematics;linear algebra;Hilbert space;linear operators;linear dependence;generalized numerical range;
Type (COBISS): Not categorized
Pages: str. 22-52
Issue: ǂVol. ǂ22
Chronology: 2011
ID: 1475863