4 citations · 21 across the 9 of their papers we have counts for
9 papers
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…
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 p…
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…
Interpolation and non-dilatable families of -semigroups
Raj Dahya
We generalise a technique of Bhat and Skeide (2015) to interpolate commuting families of contractions on a Hilbert space , to commuting…
Characterisations of dilations via approximants, expectations, and functional calculi
Raj Dahya
We consider characterisations of unitary dilations and approximations of irreversible classical dynamical systems on a Hilbert space. In the commutative case, building on the work…
Dilations of commuting -semigroups with bounded generators and the von Neumann polynomial inequality
Raj Dahya
Consider commuting -semigroups (or equivalently: -parameter -semigroups) over a Hilbert space for . In the literature (\textit{cf.} [29, 26,…
On the complete metrisability of spaces of contractive semigroups
Raj Dahya
The space of unitary -semigroups on separable infinite dimensional Hilbert space, when viewed under the topology of uniform weak convergence on compact subsets of $\mathbb{R…
The space of contractive -semigroups is a Baire space
Raj Dahya
Working over infinite dimensional separable Hilbert spaces, residual results have been achieved for the space of contractive -semigroups under the topology of uniform weak o…
On the strong continuity of generalised semigroups
Raj Dahya
It is well known that weakly continuous semigroups defined over are automatically strongly continuous. We extend this result to more generally defined semigroups,…