A Converse of Lotz's Theorem on Uniformly Continuous Semigroups

DOI10.2307/2159762zbMath0895.47031OpenAlexW4256502313MaRDI QIDQ4022146

J. M. A. M. van Neerven

Publication date: 17 January 1993

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://ir.cwi.nl/pub/2332

zbMATH Keywords

Banach latticeDunford-Pettis property\(C_0\)-semigroupGrothendieck property

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Banach lattices (46B42) Linear operators on ordered spaces (47B60)

Related Items (8)

Asymptotic behaviour of \(C_0\)-semigroups and \(\gamma\)-boundedness of the resolvent ⋮ On \(C(K)\) Grothendieck spaces ⋮ The non-analytic growth bound of a \(C_{0}\)-semigroup and inhomogeneous Cauchy problems. ⋮ Balanced exponential growth of operator semigroups ⋮ Grothendieck spaces: the landscape and perspectives ⋮ Duality theory for solutions to Volterra integral equations ⋮ Convergence rates of regularized approximation processes. ⋮ Abstract multiplication semigroups

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