Dichotomy results for norm estimates in operator semigroups

Isabelle Chalendar (1) , Jean Esterle (2) , Jonathan Partington (3)

1 EDPA - Équations aux dérivées partielles, analyse
2 IMB - Institut de Mathématiques de Bordeaux
3 School of Mathematics [Leeds]

The results in this survey indicate that the quantitative behaviour of the semigroup at the origin provides additional qualitative information, such as uniform continuity or analyticity.

Mots clés: strongly continuous semigroup; Laplace transform.; functional calculus; Laplace transform

Domaines: Analyse fonctionnelle [math.FA]

Isabelle Chalendar, Jean Esterle, Jonathan Partington. Dichotomy results for norm estimates in operator semigroups. Operator Theory: Advances and Applications, 2015, Operator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics, 250, pp.119-131. ⟨hal-00959963⟩