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Embedding operators into strongly continuous semigroups
Authors:Tanja Eisner
Affiliation:1. Mathematisches Institut, Universit?t Tübingen, Auf der Morgenstelle 10, 72076, Tübingen, Germany
Abstract:We study linear operators T on Banach spaces for which there exists a C0-semigroup (T(t))t≥0 such that TT(1). We present a necessary condition in terms of the spectral value 0 and give classes of examples for which such a C0-semigroup does or does not exist. Received: 22 December 2008, Revised: 7 April 2009
Keywords:  KeywordHeading"  >Mathematics Subject Classification (2000). 47D06  47A05
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