
An example is given of a linear mapping from C [ x ] {\mathbf {C}}[x] to M 2 ( C ) {{\mathbf {M}}_2}({\mathbf {C}}) which is positive but not completely positive. It is shown that a positive linear mapping from C [ x ] {\mathbf {C}}[x] to B ( H ) {\mathbf {B}}(\mathcal {H}) is completely positive if certain scalar moment sequences associated with it are determinate.
General theory of \(C^*\)-algebras, Moment problems, complex algebra, involution, commutativity, completely positive, positive linear mapping, \(C^*\)-algebra, scalar moment sequences
General theory of \(C^*\)-algebras, Moment problems, complex algebra, involution, commutativity, completely positive, positive linear mapping, \(C^*\)-algebra, scalar moment sequences
| selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 4 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Average | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Average | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
