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arXiv · 1605.01675

Dilations of Semigroups of Contractions through Vessels

Eli Shamovich·Victor Vinnikov
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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 $e^{i \sum_{j=1}^d t_j A_j}$.

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Eli Shamovich, Victor Vinnikov. 2016-05-05. Dilations of Semigroups of Contractions through Vessels. https://doi.org/10.1007/s00020-016-2340-z

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