
The author gives a condition for the \(C\)-numerical range \(W(C,T)\) of \(T\) being a line segment. He also obtains the result that if the \(C\)- numerical range \(W(C,T)\) of \(T\) is nowhere dense in \(\mathbb{R}^ 2\) then the matrices \(C\) and \(T\) are normal matrices.
Numerical Analysis, Algebra and Number Theory, Norms of matrices, numerical range, applications of functional analysis to matrix theory, Discrete Mathematics and Combinatorics, \(C\)-numerical range, Geometry and Topology, normal matrices
Numerical Analysis, Algebra and Number Theory, Norms of matrices, numerical range, applications of functional analysis to matrix theory, Discrete Mathematics and Combinatorics, \(C\)-numerical range, Geometry and Topology, normal matrices
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