Title : ( A Gruss inequality for n-positive linear maps )
Authors: Mohammad Sal Moslehian , Rjna Rajic ,
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Abstract
Let A be a unital C∗-algebra and let Φ : A → B(H) be a unital npositive linear map between C∗-algebras for some n 3. We show that Φ(AB) − Φ(A)Φ(B) Δ(A, || · ||)Δ(B, || · ||) for all operators A, B ∈ A, where Δ(C, · ) denotes the operator norm distance of C from the scalar operators.
Keywords
, Grüss inequality Operator inequality Positive operator C∗, algebra Completely positive map n, positive map
@article{paperid:1017292,
author = {Sal Moslehian, Mohammad and Rjna Rajic},
title = {A Gruss inequality for n-positive linear maps},
journal = {Linear Algebra and its Applications},
year = {2010},
volume = {433},
number = {12},
month = {September},
issn = {0024-3795},
pages = {1555--1560},
numpages = {5},
keywords = {Grüss inequality
Operator inequality
Positive operator
C∗-algebra
Completely positive map
n-positive map},
}
%0 Journal Article
%T A Gruss inequality for n-positive linear maps
%A Sal Moslehian, Mohammad
%A Rjna Rajic
%J Linear Algebra and its Applications
%@ 0024-3795
%D 2010
