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Linear and Multilinear Algebra Volume 71, 2023 - Issue 17
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Research Article

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

Priyanka GroverDepartment of Mathematics, Shiv Nadar University, Gautam Buddha Nagar, UP, IndiaView further author information
&
Sushil SinglaDepartment of Mathematics, Shiv Nadar University, Gautam Buddha Nagar, UP, IndiaCorrespondence[email protected]
ORCID Iconhttps://orcid.org/0000-0001-9838-795XView further author information
ORCID Icon
Pages 2709-2718 | Received 24 Jan 2022, Accepted 21 Jul 2022, Published online: 21 Sep 2022
 
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Abstract

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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Disclosure statement

The authors declare that there are no conflict of interest.

Additional information

Funding

The first named author's research is supported by an Early Career Research Award of SERB (Science and Engineering Research Board), India (ECR/2018/001784).

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