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- Title
Hilbert-Schmidt Numerical Radius of a Pair of Operators.
- Authors
Aici, Soumia; Frakis, Abdelkader; Kittaneh, Fuad
- Abstract
We introduce a new norm on C 2 × C 2 , where C 2 is the Hilbert-Schmidt class. We study basic properties of this norm and prove inequalities involving it. As an application of the present study, we deduce a chain of new bounds for the Hilbert-Schmidt numerical radii of 2 × 2 operator matrices. Connection with the classical Hilbert-Schmidt numerical radius of a single operator are also provided. Moreover, we refine some related existing bounds, too.
- Subjects
SELFADJOINT operators; MATRICES (Mathematics)
- Publication
Acta Applicandae Mathematicae, 2023, Vol 188, Issue 1, p1
- ISSN
0167-8019
- Publication type
Article
- DOI
10.1007/s10440-023-00624-z