Inequalities and Reverse Inequalities for the Joint A-Numerical Radius of Operators
Axioms, 2023•mdpi.com
In this paper, we aim to establish several estimates concerning the generalized Euclidean
operator radius of d-tuples of A-bounded linear operators acting on a complex Hilbert space
H, which leads to the special case of the well-known A-numerical radius for d= 1. Here, A is
a positive operator on H. Some inequalities related to the Euclidean operator A-seminorm of
d-tuples of A-bounded operators are proved. In addition, under appropriate conditions,
several reverse bounds for the A-numerical radius in single and multivariable settings are …
operator radius of d-tuples of A-bounded linear operators acting on a complex Hilbert space
H, which leads to the special case of the well-known A-numerical radius for d= 1. Here, A is
a positive operator on H. Some inequalities related to the Euclidean operator A-seminorm of
d-tuples of A-bounded operators are proved. In addition, under appropriate conditions,
several reverse bounds for the A-numerical radius in single and multivariable settings are …
In this paper, we aim to establish several estimates concerning the generalized Euclidean operator radius of d-tuples of A-bounded linear operators acting on a complex Hilbert space H, which leads to the special case of the well-known A-numerical radius for d=1. Here, A is a positive operator on H. Some inequalities related to the Euclidean operator A-seminorm of d-tuples of A-bounded operators are proved. In addition, under appropriate conditions, several reverse bounds for the A-numerical radius in single and multivariable settings are also stated.
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