Tracial numerical ranges and linear dependence of operators
Electron. J. Linear Algebra 22, 22-52, electronic only (2011)
Summary
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.
Mathematics Subject Classification
15A03, 47A12, 47A99
Keywords/Phrases
Hilbert space, linear operators, linear dependence, generalized numerical range
