In this paper we introduce a new technique for proving norm inequalities in operator ideals with a unitarily invariant norm. Among the well-known inequalities which can be proved with this technique are the Löwner–Heinz ...

In this work we extend Cordes inequality, McIntosh inequality and CPR-inequality for the operator seminorm defined by a positive semidefinite bounded linear operator A.

In this paper, we obtain some refinements of the known operator inequalities for the p-Schatten class. In addition, we obtain an approach to the inequalities conjectured by Audenaert and Kittaneh for the p-Schatten class.

Let L(H) be the algebra of bounded operators on a complex separable Hilbert space H.  Let N be a unitary invariant norm  defined on a norm ideal I ⊆ L(H)$. Given two positive invertible operators P, Q ∈ L(H) and k ∈ (-2,2], ...

In this paper we present renements and improvement of the Young inequality in the context of linear bounded operators.

A conjecture posed by S. Hayajneh and F. Kittaneh claims that given A, B positive matrices, 0≤t≤1, and any unitarily invariant norm the following inequality holds{triple vertical-rule fence}AtB1-t+BtA1-t{triple vertical-rule ...

Using elementary techniques we prove that if A, B are invertible positive operators in B(H ), t ≤ 2 and r ∈ [ 1/2 , 3/2 ], then (2 + t) ||| ArXB2−r + A2−rXBr ≤ 2 ||| A 2X + tAXB + XB2 ||| for any unitarily invariant ...

In this work we characterize unitary operators via inequalities of elementary operators with unitarily invariant norms.