𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Weak Lp-stability of a linear semigroup on a Hilbert space implies exponential stability

✍ Scribed by George Weiss

Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
723 KB
Volume
76
Category
Article
ISSN
0022-0396

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Characterization of Exponential Stabilit
Characterization of Exponential Stability of a Semigroup of Operators in Terms of Its Action by Convolution on Vector-Valued Function Spaces overR+
✍ J.M.A.M. van Neerven πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 741 KB

It is proved that a C 0 -semigroup T=[T(t)] t 0 of linear operators on a Banach space X is uniformly exponentially stable if and only if it acts boundedly on one of the spaces L p (R + , X) or C 0 (R + , X) by convolution. As an application, it is shown that T is uniformly exponentially stable if an