Norm inequalities related to matrix commutators involving matrix functions

descriptionPublicationkeyboard_double_arrow_right Article 14 Oct 2019 English Publisher:World Scientific Pub Co Pte LtJournal:Asian-European Journal of Mathematics, volume 12, page 2,040,006 (issn: 1793-5571, eissn: 1793-7183,

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Authors: Kan, Osman; Solak, Süleyman;

doi: 10.1142/s1793557120400069

Norm inequalities related to matrix commutators involving matrix functions

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Abstract

In this paper, we construct matrix commutators involving hyperbolic functions [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] and obtain some results related to the relation between these commutators and [Formula: see text].

Related Organizations

Necmettin Erbakan University
Turkey

Keywords

Matrix exponential and similar functions of matrices, hyperbolic functions of matrices, matrix commutators, Miscellaneous inequalities involving matrices, Norms of matrices, numerical range, applications of functional analysis to matrix theory, Frobenius norm

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