In this paper, we present a general formulation of the well-known fractional drifts of Riemann-Liouville type. We state the main properties of these integral operators. Besides, we study Ostrowski, Szekely-Clark-Entringer ...

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

We extend an operator Pólya-Szegö type inequality involving the operator geometric mean to any arbitrary operator mean under some mild conditions. Utilizing the Mond-Pečarić method, we present some other related operator ...

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 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 2001, Renaud obtaines a Grüss type operator inequality involving the usual trace functional. In this article, we give a refinement of that result, and we answer positively Renaud´s open problem.

If a, b are n × n matrices, T. Ando proved that Young’s inequality is valid for their singular values: if p > 1 and 1/p + 1/q = 1, then λk(|ab∗ |) ≤ λk 1 p |a| p + 1 q |b| q for all k. Later, this result was extended ...

Introduction ​The eigenvalue problems for quasilinear and nonlinear operators present many differences with the linear case, and a Lyapunov inequality for quasilinear resonant systems showed the existence of eigenvalue ...

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