Results 1 to 10 of about 830,066 (126)

Generalized Refinements of Reversed AM-GM Operator Inequalities for Positive Linear Maps

Axioms, 2023
We shall present some more generalized and further refinements of reversed AM-GM operator inequalities for positive linear maps due to Xue’s and Ali’s publications.
Yonghui Ren
doaj   +3 more sources

The Generalized Inequalities via Means and Positive Linear Mappings [PDF]

Sahand Communications in Mathematical Analysis, 2022
In this paper, we establish further improvements  of the Young inequality and its reverse. Then, we assert operator versions corresponding them. Moreover, an application including positive linear mappings is given.
Leila Nasiri, Mehdi Shams
doaj   +1 more source

Improvements of operator reverse AM-GM inequality involving positive linear maps

Journal of Inequalities and Applications, 2020
In this paper, we shall present some reverse arithmetic-geometric mean operator inequalities for unital positive linear maps. These inequalities improve some corresponding results due to Xue (J. Inequal. Appl. 2017:283, 2017).
Shazia Karim, Ilyas Ali, Muhammad Mushtaq   +2 more
doaj   +1 more source

More on the extension of linear operators on Riesz spaces

Karpatsʹkì Matematičnì Publìkacìï, 2022
The classical Kantorovich theorem asserts the existence and uniqueness of a linear extension of a positive additive mapping, defined on the positive cone $E^+$ of a Riesz space $E$ taking values in an Archimedean Riesz space $F$, to the entire space $E$.
O.G. Fotiy, A.I. Gumenchuk, M.M. Popov
doaj   +1 more source

Entropy dissipation estimates for the linear Boltzmann operator [PDF]

, 2015
We prove a linear inequality between the entropy and entropy dissipation functionals for the linear Boltzmann operator (with a Maxwellian equilibrium background).
Bisi, Marzia, Cañizo, José A., Lods, Bertrand   +2 more
core   +1 more source

Estimates for Tsallis relative operator entropy [PDF]

, 2017
We give the tight bounds of Tsallis relative operator entropy by using Hermite-Hadamard's inequality. Some reverse inequalities related to Young inequalities are also given.
Furuichi, Shigeru, Minculete, Nicuşor, Moradi, Hamid Reza   +2 more
core   +1 more source

Some generalizations of operator inequalities for positive linear maps

Journal of Inequalities and Applications, 2016
In this paper, we generalize some operator inequalities for positive linear maps due to Lin (Stud. Math. 215:187-194, 2013) and Zhang (Banach J. Math. Anal. 9:166-172, 2015).
Jianming Xue, Xingkai Hu
doaj   +1 more source

Implementation of discrete positive operator valued measures on linear optical systems using cosine-sine decomposition

Physical Review Research, 2022
Positive operator valued measurements (POVMs) play an important role in efficient quantum communication and computation. While optical systems are one of the strongest candidates for long distance quantum communication and information processing ...
Jaskaran Singh, Arvind, Sandeep K. Goyal
doaj   +1 more source

Projections in operator ranges [PDF]

, 2005
If $\H$ is a Hilbert space, $A$ is a positive bounded linear operator on $\cH$ and $\cS$ is a closed subspace of $\cH$, the relative position between $\cS$ and $A^{-1}(\cS \orto)$ establishes a notion of compatibility. We show that the compatibility of $(
Corach, Gustavo, Maestripieri, Alejandra, Stojanoff, Demetrio   +2 more
core   +5 more sources

A Voronovskaya-type theorem for a positive linear operator

International Journal of Mathematics and Mathematical Sciences, 2006
We consider a sequence of positive linear operators which approximates continuous functions having exponential growth at infinity.
Alexandra Ciupa
doaj   +1 more source