Characterization of the order relation on the set of completely n-positive linear maps between C*-algebras

Journal Title: Surveys in Mathematics and its Applications - Year 2007, Vol 2, Issue 0

Abstract

In this paper we characterize the order relation on the set of all nondegenerate completely n-positive linear maps between C<sup>*</sup>-algebras in terms of a self-dual Hilbert module induced by each completely n-positive linear map.

Authors and Affiliations

Maria Joita, Tania Luminita Costache, Mariana Zamfir

Keywords

Related Articles

Non-simultaneous blow-up for a semilinear parabolic system with nonlinear memory

In this note, we study the possibility of non-simultaneous blow-up for positive solutions to the following system:<BR>u<sub>t</sub> - ∆u = u<sup>q<sub>1</sub></sup>∫<sub>0&...

On a certain subclass of meromorphic univalent functions with fixed second positive coefficients

In the present paper, we consider the subclass of meromorphic univalent functions S<SUB>p</SUB><SUP>*</SUP>[k,α,β,c] with fixed second positive coefficient. The object of the present paper is to s...

Uniformly continuous functions on non-Hausdorff groupoids

The purpose of this paper is to study the notion of uniform continuity introduced in [M. Buneci, Haar systems and homomorphism on groupoids, Operator algebras and mathematical physics, 35-49, Theta, Bucharest, 2003]. For...

Subordination and superordination for certain analytic functions containing fractional integral

The purpose of the present article is to derive some subordination and superordination results for certain normalized analytic functions involving fractional integral operator. Moreover, this result is applied to find a...

Degree of approximation of functions belonging to Lipα class and weighted (L<SUP>r</SUP>,ξ(t)) class by product summability method

A good amount of work has been done on degree of approximation of functions belonging to Lipα, Lip(α,r), Lip(ξ(t),r) and W(L<SUP>r</SUP>, ξ(t)) classes using Cesàro and (generalized) Nörlund single summabilit...

Download PDF file
  • EP ID EP91728
  • DOI -
  • Views 162
  • Downloads 0

How To Cite

Maria Joita, Tania Luminita Costache, Mariana Zamfir (2007). Characterization of the order relation on the set of completely n-positive linear maps between C*-algebras. Surveys in Mathematics and its Applications, 2(0), 113-122. https://europub.co.uk/articles/-A-91728