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Generalized inequalities involving fractional operators of the Riemann-Liouville type
(2021)
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 ...
Young type inequalities for positive operators
(EMIS, 2013-03)
In this paper we present renements and improvement of the Young inequality in the context of linear bounded operators.
A VARIATIONAL INEQUALITY RELATED TO AN ELLIPTIC OPERATOR
(Universidad Católica del Norte, Departamento de Matemáticas, 2000)
An extension of the Pólya-Szegö operator inequality
(Elsevier Gmbh, 2017-06)
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 ...
Operator inequalities related to the Corach–Porta–Recht inequality
(Elsevier Science Inc, 2012-05)
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 ...
Norm inequalities in operator ideals
(Elsevier, 2008-12)
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 ...
A Grüss type operator inequality
(Duke University Press, 2017-01)
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.
Young's (in)equality for compact operators
(Polish Acad Sciences Inst Mathematics, 2016-05)
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 ...
Lyapunov-type inequalities: with applications to eigenvalue problems
(Springer, 2013)
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 ...
Characterization of unitary operators by elementary operators and unitarily invariant norms
(Element, 2012-01)
In this work we characterize unitary operators via inequalities of elementary operators with unitarily invariant norms.