N Dilations and Transference for Continuous One-Parameter Semigroups of Positive Contractions on $\mathcal{L}^p$-spaces

Mathematics – Functional Analysis

Scientific paper

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Annales Universitatis Saraviensis, Series Mathematicae vol. 9, No. 1,1998

Scientific paper

These are the notes of a lecture given at the university of Wroclaw in 1996. We present results of semigroups of (sub)positive contractions on L^p-spaces. The dilation theorem of Akcoglue and sucheston is considered as a starting point. We construct a dilation of a strongly continuous semigroup of (sub)positive contractions on L^p-space, 1

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