Uniqueness of a pre-generator for $C_0$-semigroup on a general locally convex vector space

Preprint English OPEN
Dan Lemle , Ludovic; Wu , Liming;
(2006)
  • Publisher: HAL CCSD
  • Subject: mass transport equation | 2000 AMS Subject Classification} Primary: 47D03, 47F05 Secondary: 60J60 | $L^\infty$-uniqueness | [ MATH.MATH-FA ] Mathematics [math]/Functional Analysis [math.FA] | [MATH.MATH-FA] Mathematics [math]/Functional Analysis [math.FA] | 47D03, 47F05 (Primary) | 60J60 (Secondary) | Mathematics - Functional Analysis | $C_0$-semigroups
    arxiv: Mathematics::Functional Analysis | Mathematics::Operator Algebras

The main purpose is to generalize a theorem of Arendt about uniqueness of $C_0$-semigroups from Banach space setting to the general locally convex vector spaces, more precisely, we show that cores are the only domains of uniqueness for $C_0$-semigroups on locally convex... View more
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