Title : ( Unitalily invariant norm inequalities for operators )
Authors: M. Erfanian Omidvar , Mohammad Sal Moslehian , Asadollah Niknam ,
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Abstract
We present several norm inequalities for Hilbert space operators. In particular, we prove that if A1;A2; . . . ; An 2 BðHÞ, then jjjA1A2 þ A2A3 þ þAnA1 jjj 6 Xn i¼1 AiAi for all unitarily invariant norms. We also show that if A1;A2;A3;A4 are projections in BðHÞ, then X4 i¼1 ð1Þiþ1Ai ! 0 0 0 6 jjjðA1 þ jA3A1jÞ ðA2 þ jA4A2jÞ ðA3 þ jA1A3jÞ ðA4 þ jA2A4jÞjjj for any unitarily invariant norm
Keywords
, Bounded linear operator; Hilbert space; Norm inequality; Operator norm; Schatten p, norm; Unitarily invariant norm
@article{paperid:1030133,
author = {M. Erfanian Omidvar and Sal Moslehian, Mohammad and Niknam, Asadollah},
title = {Unitalily invariant norm inequalities for operators},
journal = {Journal of the Egyptian Mathematical Society},
year = {2012},
volume = {20},
number = {1},
month = {February},
issn = {1110-256X},
pages = {38--42},
numpages = {4},
keywords = {Bounded linear operator;
Hilbert space;
Norm inequality;
Operator norm;
Schatten p-norm;
Unitarily invariant norm},
}
%0 Journal Article
%T Unitalily invariant norm inequalities for operators
%A M. Erfanian Omidvar
%A Sal Moslehian, Mohammad
%A Niknam, Asadollah
%J Journal of the Egyptian Mathematical Society
%@ 1110-256X
%D 2012
