Title : ( Some inequalities involving positive maps )
Authors: Mohammad Sal Moslehian ,
دانلود فایل برای اعضای دانشگاهAccess to full-text not allowed by authors
Abstract
We investigate some inequalities related to Chebyshev and Gr\"uss inequalities regarding some unitarily invariant norms. Further we get an analogous inequality for certain $n$-positive maps in the setting of full matrix algebras by using some matrix tricks. We also give some operator inequalities in the framework of $C^*$-algebras of arbitrary dimension and apply it to some inequalities involving continuous fields of operators. operator inequalities in the framework of C-algebras of arbitrary dimension and apply it to some inequalities involving continuous fields of operators.
Keywords
, Operator inequality; Grüss inequality; completely positive map; C-algebra; Chebyshev inequality, unitarily invariant norm; operator mean
@inproceedings{paperid:1046654,
author = {Sal Moslehian, Mohammad},
title = {Some inequalities involving positive maps},
booktitle = {the 19th International Linear Algebra Society Conference (ILAS2014)},
year = {2014},
location = {Seoul, south korea},
keywords = {Operator inequality; Grüss inequality; completely
positive map; C-algebra; Chebyshev inequality;
unitarily invariant norm; operator mean},
}
%0 Conference Proceedings
%T Some inequalities involving positive maps
%A Sal Moslehian, Mohammad
%J the 19th International Linear Algebra Society Conference (ILAS2014)
%D 2014
