Title : ( An investigation of unitarily invariant norm inequalities of Lowner--Heinz type )
Authors: M. Fujii , Mohammad Sal Moslehian , R. Nakamoto , M. Tominaga ,
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Abstract
We utilize some $2 \times 2$ matrix tricks to obtain several unitarily invariant norm inequalities corresponding to the L\"{o}wner--Heinz inequality, the arithmetic--geometric mean inequality and the Corach--Porta--Recht inequality. Among others, we establish some norm inequalities for unitarily invariant norms implying an extended L\"owner--Heinz inequality.
Keywords
, Lowner--Heinz inequality, Heinz inequality, Corach--Porta--Recht inequality, unitarily invariant norm, norm inequality, positive operator
@article{paperid:1046700,
author = {M. Fujii and Sal Moslehian, Mohammad and R. Nakamoto and M. Tominaga},
title = {An investigation of unitarily invariant norm inequalities of Lowner--Heinz type},
journal = {Scientiae Mathematicae Japonicae},
year = {2014},
volume = {2014},
number = {2014},
month = {June},
issn = {1346-0862},
pages = {291--296},
numpages = {5},
keywords = {Lowner--Heinz inequality; Heinz inequality; Corach--Porta--Recht inequality; unitarily invariant norm; norm inequality; positive operator},
}
%0 Journal Article
%T An investigation of unitarily invariant norm inequalities of Lowner--Heinz type
%A M. Fujii
%A Sal Moslehian, Mohammad
%A R. Nakamoto
%A M. Tominaga
%J Scientiae Mathematicae Japonicae
%@ 1346-0862
%D 2014
