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Individual stability ofC0-semigroups with uniformly bounded local resolvent

✍ Scribed by J. M. A. M. van Neerven

Book ID: 110561086
Publisher: Springer
Year: 1996
Tongue: English
Weight: 307 KB
Volume: 53
Category: Article
ISSN: 0037-1912
DOI: 10.1007/bf02574130

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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