3 papers
math.FA2026
The Choi-Cholesky algorithm for completely positive maps
Raj Dahya
We establish explicit means via which natural dilations of completely positive (CP) maps can be constructed à la Kraus's IInd representation theorem. To obtain this, we rely on the…
math.FA2026
Free dilations of families of -semigroups and applications to evolution families
Raj Dahya
Commuting families of contractions or contractive -semigroups on Hilbert spaces often fail to admit power dilations resp, simultaneous unitary dilations which are…
math.FA2025
Dilations of non-Markovian dynamical systems on graphs
Raj Dahya
To generalise evolution families we consider systems of contractions defined on the edges of a graph . In this setup the Markov…