We give several norm and numerical radius inequalities for Hilbert space operators. These
inequalities improve on some earlier related inequalities. As an application of one of our …

In this article, we introduce the definition of the weighted numerical radius ω _ ν (T) ω ν (T) of
a Hilbert space operator T, and present. many interesting properties of this newly defined …

Let B (H) be the C⁎-algebra of all bounded linear operators on a Hilbert space H. Let N (⋅)
be an arbitrary norm on B (H) and I stand for the identity operator. For T∈ B (H), we …

We prove an inner product inequality for Hilbert space operators. This inequality will be
utilized to present a general numerical radius inequality using convex functions …

Let 0< ρ≤ 2 and w ρ (X) be the operator radius of a bounded linear Hilbert space operator
X. In this paper we present characterizations of operators satisfying w ρ (X)≤ 1. We also …

Let H be a complex Hilbert space and let A be a positive operator on H. We obtain new
bounds for the A-numerical radius of operators in semi-Hilbertian space BA (H) that …

They proved several properties and introduced some inequalities. We continue with the
study of this generalized numerical radius and we develop diverse inequalities involving …

It is shown, among other inequalities, that if A and B are Hilbert space operators which
belong to the Schatten p-class, then, for p≥ 1 and 0< v< 1, we have‖ A+ B‖ p≤ max⁡(2, 2 …

We introduce a new norm on the space of all bounded linear operators on a complex Hilbert
space, which generalizes the numerical radius norm, the usual operator norm and the …

Let B (H) be the algebra of all bounded linear operators on a Hilbert space H and let N (⋅)
be a norm on B (H). For every 0≤ ν≤ 1, we introduce the w (N, ν)(A) as an extension of the …