Banach Journal of Mathematical Analysis
- Banach J. Math. Anal.
- Volume 12, Number 4 (2018), 955-969.
Interpolating inequalities for functions of positive semidefinite matrices
Let , be positive semidefinite matrices, and let . We show that if is an increasing submultiplicative function on with such that and are convex, then for every unitarily invariant norm. Moreover, if and is an matrix with , then for every unitarily invariant norm. These inequalities present generalizations of recent results of Zou and Jiang and of Audenaert.
Banach J. Math. Anal., Volume 12, Number 4 (2018), 955-969.
Received: 23 December 2017
Accepted: 12 March 2018
First available in Project Euclid: 10 July 2018
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 15A60: Norms of matrices, numerical range, applications of functional analysis to matrix theory [See also 65F35, 65J05]
Secondary: 15A18: Eigenvalues, singular values, and eigenvectors 15A42: Inequalities involving eigenvalues and eigenvectors
Al-Natoor, Ahmad; Hirzallah, Omar; Kittaneh, Fuad. Interpolating inequalities for functions of positive semidefinite matrices. Banach J. Math. Anal. 12 (2018), no. 4, 955--969. doi:10.1215/17358787-2018-0008. https://projecteuclid.org/euclid.bjma/1531209674