Abstract
Notation. Throughout this chapter, X and Y are complex Hilbert spaces which are identified with their duals. \( \mathbb{T} \) is a strongly continuous semigroup on X, with generator A:D(A)→X and growth bound ω0(\( \mathbb{T} \) ). Recall from Section 2.10 that X1 is D(A) with the norm …z‖1 = ‖(βI - A)z…, where β ∋ ρ(A) is fixed.
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© 2009 Birkhäuser Verlag AG
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(2009). Observability. In: Observation and Control for Operator Semigroups. Birkhäuser Advanced Texts / Basler Lehrbücher. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8994-9_6
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DOI: https://doi.org/10.1007/978-3-7643-8994-9_6
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-7643-8993-2
Online ISBN: 978-3-7643-8994-9
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