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# Dilations of one parameter Semigroups of positive Contractions on $L^{\lowercase {p}}$ spaces

Published:1997-08-01
Printed: Aug 1997
• Gero Fendler
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## Abstract

It is proved in this note, that a strongly continuous semigroup of (sub)positive contractions acting on an $L^p$-space, for \$1
 MSC Classifications: 47D03 - Groups and semigroups of linear operators {For nonlinear operators, see 47H20; see also 20M20} 22D12 - Other representations of locally compact groups 43A22 - Homomorphisms and multipliers of function spaces on groups, semigroups, etc.