Linear dependence of operators characterized by trace functionals

DOI10.1016/j.laa.2010.08.017zbMath1208.47005OpenAlexW1990188501MaRDI QIDQ609510

Fangyan Lu

Publication date: 1 December 2010

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2010.08.017

zbMATH Keywords

Hilbert spacelinear operatorlinear dependencetrace operator

Mathematics Subject Classification ID

Numerical range, numerical radius (47A12) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (1)

Nonlinear maps preserving higher-dimensional numerical range of skew Lie product of operators

Cites Work

• Locally linearly dependent operators.
• Maps preserving the nilpotency of products of operators
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