Title : ( Squaring operator Polya--Szego and Diaz--Metcalf type inequalities )
Authors: Mohammad Sal Moslehian , Xiaohui Fu ,
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Abstract
We square operator Pólya–Szegö and Diaz–Metcalf type inequalities as follows: If operator inequalities View the MathML source0<m12≤A≤M12 and View the MathML source0<m22≤B≤M22 hold for some positive real numbers m1≤M1m1≤M1 and m2≤M2m2≤M2, then for every unital positive linear map Φ the following inequalities hold: View the MathML source(Φ(A)♯Φ(B))2≤(M1M2+m1m22M1M2m1m2)4Φ(A♯B)2 Turn MathJax on and View the MathML source
Keywords
, Operator inequality; Pólya–Szegö inequality; Diaz, , Metcalf type inequality; positive linear map; geometric mean
@article{paperid:1053911,
author = {Sal Moslehian, Mohammad and Xiaohui Fu},
title = {Squaring operator Polya--Szego and Diaz--Metcalf type inequalities},
journal = {Linear Algebra and its Applications},
year = {2016},
volume = {491},
number = {1},
month = {January},
issn = {0024-3795},
pages = {73--82},
numpages = {9},
keywords = {Operator inequality; Pólya–Szegö inequality; Diaz--Metcalf type inequality; positive linear map; geometric mean},
}
%0 Journal Article
%T Squaring operator Polya--Szego and Diaz--Metcalf type inequalities
%A Sal Moslehian, Mohammad
%A Xiaohui Fu
%J Linear Algebra and its Applications
%@ 0024-3795
%D 2016
