28 citations · 76 across the 21 of their papers we have counts for
5 papers · 1 filter
Partially Positive Semidefinite Maps on -Semigroupoids and Linearisations
Aurelian Gheondea, Bogdan Udrea
Motivated by Cuntz-Krieger-Toeplitz systems associated to undirected graphs and representations of groupoids, we obtain a generalisation of the Sz-Nagy's Dilation Theorem for opera…
On Propagation of Fixed Points of Quantum Operations and Beyond
Aurelian Gheondea
We show that some abstract results on propagation of fixed points for completely positive maps on -algebras provide a natural approach to unify recent Noether type theorems on…
Operator Models for Hilbert Locally -Modules
Aurelian Gheondea
We single out the concept of concrete Hilbert module over a locally -algebra by means of locally bounded operators on certain strictly inductive limits of Hilbert spaces. Usin…
Representations of *-semigroups associated to invariant kernels with values continuously adjointable operators
Serdar Ay, Aurelian Gheondea
We consider positive semidefinite kernels valued in the -algebra of continuous and continuously adjointable operators on a VH-space (Vector Hilbert space in the sense of Loynes)…
An Interpolation Problem for Completely Positive Maps on Matrix Algebras: Solvability and Parametrisation
Calin-Grigore Ambrozie, Aurelian Gheondea
We present certain existence criteria and parameterisations for an interpolation problem for completely positive maps that take given matrices from a finite set into prescribed mat…