… is focused on numerical semigroups and presents a simple construction, that we call “dilatation”,
which, from a starting semigroup S, permits to get an infinite family of semigroups which …

… −nt ai1 ···ain defines a dilation semigroup on the non-self-adjoint operator … dilation semigroup
is actually a restriction of a semigroup of completely positive maps, the free O–U semigroup…

… works on regular dilation on various semigroups, its relation … of any lattice ordered semigroup
to have regular dilation. In … on any lattice ordered semigroup has a regular dilation. This …

… semigroups {Tt},~_0 on the n × n-matrices M, we obtain a complete description of their "essentially
commutative" dilations, ie, dilations, … of an essentially commutative dilation for Tt is …

… in the case where the semigroup preserves the unit we show that their minimal dilations must
… 2 can be extended to semigroups with unbounded generators remains unclear at present; …

… of regular unitary dilations, and extend this to the case of arbitrarily many commuting C 0 -semigroups.
We furthermore show that all multi-parameter C 0 -semigroups (with bounded …

… semi-group of contractions has a strongly continuous unitary dilation. We prove also that
certain n-parameter (n is finite or not) semi-groups of operators have regular unitary dilations. …

… We first introduce the most general pair of dilation/erosion semigroups on a length space,
whose basic … PDE in the length space framework is equal to the dilation/erosion semigroups. …

… In this paper we present a dilation of a semigroup which generalizes that given in the … a
dilation [U(s) :seR} (where R denot which is analogous to the construction in [2] for a semigroup …

… Section 3 gives a proof of our main result of dilation of semigroups of Markov Fourier
multipliers. In Section 4, we describe some applications of our results to functional calculus. …