Asymptotic behaviour of C-0-semigroups with bounded local resolvents

Let {Τ(t)}t≥0 be a C0-semigroup on a Banach space Χ with generator Α, and let H∞Τ be the space of all x ∈ Χ such that the local resolvent λ → R(λ, Α)cursive Greek chi has a bounded holomorphic extension to the right half-plane. For the class of integrable functions φ on [0, ∞) whose Fourier transfor...

Full description

Bibliographic Details
Main Authors: Batty, C, Chill, R, van Neerven, J
Format: Journal article
Language:English
Published: 2000