Dilations of semigroups of contractions through vessels Academic Article uri icon

abstract

  • Let \(A_1,\ldots ,A_d\) be a d-tuple of commuting dissipative operators on a separable Hilbert space \({\mathcal H}\). Using the theory of operator vessels and their associated systems, we give a construction of a dilation of the multi-parameter semigroup of contractions on \({\mathcal H}\) given by \(e^{i \sum _{j=1}^d t_j A_j}\).

publication date

  • January 1, 2017