Dilations of Semigroups of Contractions Through Vessels

Eli Shamovich; Victor Vinnikov

doi:10.1007/s00020-016-2340-z

Dilations of Semigroups of Contractions Through Vessels

Eli Shamovich, Victor Vinnikov

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

Let A₁, … , A_d be a d-tuple of commuting dissipative operators on a separable Hilbert space 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 H given by ei∑j=1dtjAj.

Original language	English
Pages (from-to)	45-80
Number of pages	36
Journal	Integral Equations and Operator Theory
Volume	87
Issue number	1
DOIs	https://doi.org/10.1007/s00020-016-2340-z
State	Published - 1 Jan 2017

ASJC Scopus subject areas

Analysis
Algebra and Number Theory

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title = "Dilations of Semigroups of Contractions Through Vessels",

abstract = "Let A1, … , Ad be a d-tuple of commuting dissipative operators on a separable Hilbert space 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 H given by ei∑j=1dtjAj.",

author = "Eli Shamovich and Victor Vinnikov",

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AU - Vinnikov, Victor

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AB - Let A1, … , Ad be a d-tuple of commuting dissipative operators on a separable Hilbert space 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 H given by ei∑j=1dtjAj.

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Dilations of Semigroups of Contractions Through Vessels

Abstract

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