Geodesic
Tracial numerical ranges and linear dependence of operators
The electronic journal of linear algebra, Tome 22 (2011), pp. 22-52.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 15A03, 47A12, 47A99
Keywords: Hilbert space, linear operators, linear dependence, generalized numerical range 
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Kuzma, Bojan; Li, Chi-Kwong; Rodman, Leiba. Tracial numerical ranges and linear dependence of operators. The electronic journal of linear algebra, Tome 22 (2011), pp. 22-52. http://geodesic.mathdoc.fr/item/ELA_2011__22__a74/