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
Positive definite solution of two kinds of nonlinear matrix equations
Based on the elegant properties of the Thompson metric, we prove that the following two kinds of nonlinear matrix equations X=<I>Σ<SUB>i=1</SUB><SUP>m</SUP></I> A<SUB>i</SUB&g...
Existence and uniqueness of the solution of the coupled conduction-radiation energy transfer on diffuse-gray surfaces
This article gives very significant and up-to-date analytical results on the conductive-radiative heat transfer model containing two conducting and opaque materials which are in contact by radiation through a transparent...
Some fixed point results in Menger spaces using a control function
Here we prove a probabilistic contraction mapping principle in Menger spaces. This is in line with research in fixed point theory using control functions which was initiated by Khan et al. [Bull. Austral. Math. Soc., 30(...
Fixed point theorems for generalized weakly contractive mappings
In this paper several fixed point theorems for generalized weakly contractive mappings in a metric space setting are proved. The set of generalized weakly contractive mappings considered in this paper contains the family...