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Local Spectra and Individual Stability of Uniformly Bounded C0-Semigroups

✍ Scribed by Charles J. K. Batty, Jan Van Neerven and Frank Räbiger


Book ID
125697654
Publisher
American Mathematical Society
Year
1998
Tongue
English
Weight
458 KB
Volume
350
Category
Article
ISSN
0002-9947

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Asymptotic Behaviour of C0–Semigroups wi
✍ Charles J. K. Batty; Ralph Chill; Jan van Neerven 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 255 KB

Let {T (t)} t≥0 be a C 0 -semigroup on a Banach space X with generator A, and let T be the space of all x ∈ X such that the local resolvent λ → R(λ, A)x has a bounded holomorphic extension to the right half -plane. For the class of integrable functions φ on [0, ∞) whose Fourier transforms are integ