Subdifferential set of the joint numerical radius of a tuple of matrices

Priyanka Grover, Sushil Singla · Linear and Multilinear Algebra · 2022

An expression for the subdifferential set of the joint numerical radius of a tuple of matrices is obtained. Its applications to the Birkhoff-James orthogonality in the space consisting of tuples of matrices equipped with the joint numerical radius norm are discussed.

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