Characterization of chaotic order and its applications to furuta's type operator inequalities

1998 ◽  
Vol 43 (4) ◽  
pp. 339-349 ◽  
Author(s):  
Masatoshi Fujii ◽  
Jian Fei Jiang ◽  
Eizaburo Kamei
Keyword(s):  
Type Operator ◽  
Operator Inequalities

scholarly journals Kantorovich type operator inequalities via the Specht ratio

2004 ◽  
Vol 377 ◽  
pp. 69-81 ◽  
Author(s):  
Jun Ichi Fujii ◽  
Yuki Seo ◽  
Masaru Tominaga
Keyword(s):  
Type Operator ◽  
Operator Inequalities

Reverse Jensen-Mercer Type Operator Inequalities

2016 ◽  
Vol 31 ◽  
pp. 87-99 ◽  
Author(s):  
Ehsan Anjidani ◽  
Mohammad Reza Changalvaiy
Keyword(s):  
Hilbert Space ◽  
Selfadjoint Operator ◽  
Type Operator ◽  
Operator Inequalities ◽  
Linear Map ◽  
Positive Linear Map

Let $A$ be a selfadjoint operator on a Hilbert space $\mathcal{H}$ with spectrum in an interval $[a,b]$ and $\phi:B(\mathcal{H})\rightarrow B(\mathcal{K})$ be a unital positive linear map, where $\mathcal{K}$ is also a Hilbert space. Let $m,M\in J$ with $m

scholarly journals NECESSARY CONDITIONS FOR VECTOR-VALUED OPERATOR INEQUALITIES IN HARMONIC ANALYSIS

2006 ◽  
Vol 93 (2) ◽  
pp. 447-473 ◽  
Author(s):  
MICHAEL CHRIST ◽  
ANDREAS SEEGER
Keyword(s):  
Harmonic Analysis ◽  
Necessary Conditions ◽  
Entire Functions ◽  
Square Functions ◽  
Operator Inequalities ◽  
Functions Of Exponential Type ◽  
Random Construction ◽  
Families Of Operators ◽  
Vector Valued

Via a random construction we establish necessary conditions for $L^p (\ell^q)$ inequalities for certain families of operators arising in harmonic analysis. In particular, we consider dilates of a convolution kernel with compactly supported Fourier transform, vector maximal functions acting on classes of entire functions of exponential type, and a characterization of Sobolev spaces by square functions and pointwise moduli of smoothness.

Operator Inequalities Related to Q-Class Functions

2015 ◽  
Vol 65 (1) ◽  
Author(s):  
Mohsen Kian ◽  
Mohammad Sal Moslehian
Keyword(s):  
Type Operator ◽  
Operator Inequalities

AbstractWe study the operator Q-class functions, present some Hermite- Hadamard inequalities for operator Q-class functions and give some Kantorovich and Jensen type operator inequalities involving Q-class functions

scholarly journals External Jensen-type operator inequalities via superquadraticity

2020 ◽  
pp. 31-31
Author(s):  
Mohsen Kian ◽  
Mario Krnic ◽  
Mohsen Delavar
Keyword(s):  
Type Operator ◽  
Jensen Inequality ◽  
Operator Inequalities ◽  
Superquadratic Functions ◽  
Adjoint Operators ◽  
External Form

In this paper we establish several Jensen-type operator inequalities for a class of superquadratic functions and self-adjoint operators. Our results are given in the so-called external form. As an application, we give improvements of the H?lder?McCarthy inequality and the classical discrete and integral Jensen inequality in the corresponding external forms. In addition, the established Jensen-type inequalities are compared with the previously known results and we show that our results provide more accurate estimates in some general settings.

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