Title : ( Some generalized numerical radius inequalities for Hilbert space operators )
Authors: Mostafa Sattari , Mohammad Sal Moslehian , Takeaki Yamazaki ,
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Abstract
We generalize several inequalities involving powers of the numerical radius for product of two operators acting on a Hilbert space. For any A,B,X∈B(H) such that A,B are positive, we establish some numerical radius inequalities for AαXBα and AαXB1−α (0≤α≤1) and Heinz means under mild conditions.
Keywords
Heinz means; Numerical radius; Positive operator; Operator norm
@article{paperid:1046679,
author = {Sattari, Mostafa and Sal Moslehian, Mohammad and Takeaki Yamazaki},
title = {Some generalized numerical radius inequalities for Hilbert space operators},
journal = {Linear Algebra and its Applications},
year = {2015},
volume = {470},
number = {1},
month = {April},
issn = {0024-3795},
pages = {216--227},
numpages = {11},
keywords = {Heinz means; Numerical radius; Positive operator; Operator norm},
}
%0 Journal Article
%T Some generalized numerical radius inequalities for Hilbert space operators
%A Sattari, Mostafa
%A Sal Moslehian, Mohammad
%A Takeaki Yamazaki
%J Linear Algebra and its Applications
%@ 0024-3795
%D 2015
