Improved Young's inequalities for positive linear operators
نویسندگان
چکیده
منابع مشابه
On Weighted Norm Inequalities for Positive Linear Operators
Let T be a positive linear operator defined for nonnegative functions on a rj-finite measure space {X,m,fi). Given 1 < p < oo and a nonnegative weight function w on X , it is shown that there exists a nonnegative weight function v , finite /¿-almost everywhere on X , such that (1) I \Tf)*wdfi< j fvd/i, for all/>0, J x J x tere exists posi ( h if and only if th tive /¿-almost everywhere on X...
متن کاملYoung Type Inequalities for Positive Operators
In this paper we present refinements and improvement of the Young inequality in the context of linear bounded operators.
متن کاملLinear Matrix Inequalities for RobustStrictly Positive Real
A necessary and suucient condition is proposed for the existence of a xed polynomial p(s) such that the rational function p(s)=q(s) is robustly strictly positive real when q(s) is a given Hurwitz polynomial with polytopic uncertainty. It turns out that the whole set of candidates p(s) is a convex subset of the cone of positive semideenite matrices, resulting in a straightforward strictly positi...
متن کاملΜ Cebyevs Type Inequalities for Positive Linear Maps of Selfadjoint Operators in Hilbert Spaces
Some inequalities for positive linear maps of continuous synchronous (asynchronous) functions of selfadjoint linear operators in Hilbert spaces, under suitable assumptions for the involved operators, are given. Applications for power function and logarithm are provided as well.
متن کاملSingular value inequalities for positive semidefinite matrices
In this note, we obtain some singular values inequalities for positive semidefinite matrices by using block matrix technique. Our results are similar to some inequalities shown by Bhatia and Kittaneh in [Linear Algebra Appl. 308 (2000) 203-211] and [Linear Algebra Appl. 428 (2008) 2177-2191].
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: ScienceAsia
سال: 2020
ISSN: 1513-1874
DOI: 10.2306/scienceasia1513-1874.2020.020