The resolvent growth assumption for semigroups on Hilbert spaces

DOI10.1016/0022-247X(90)90438-LzbMath0693.47034MaRDI QIDQ908501

George Weiss

Publication date: 1990

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

\(C_ 0\) semigroupgrowth of the resolvent of the generator along vertical lines in the complex planeNth asymptotic typeNth spectral type

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03)

Related Items (8)

Localized Stability Certificates for Spatially Distributed Systems over Sparse Proximity Graphs ⋮ Weak \(L^ p\)-stability of a linear semigroup on a Hilbert space implies exponential stability ⋮ Individual stability of \(C_0\)-semigroups with uniformly bounded local resolvent ⋮ Stabilizability properties of a linearized water waves system ⋮ Asymptotic behavior of 𝐶₀-semigroups in Banach spaces ⋮ Approximation and uniform polynomial stability ofC₀-semigroups ⋮ A local version of Gearhart's theorem ⋮ Regularization and frequency-domain stability of well-posed systems

Cites Work

• Interpolation for (positive) \(C_ 0\)-semigroups on \(L_ p\)-spaces
• Semigroups of linear operators and applications to partial differential equations
• One-parameter semigroups of positive operators
• Weak \(L^ p\)-stability of a linear semigroup on a Hilbert space implies exponential stability
• On the stabilizability problem in Banach space
• On the Spectrum of C 0 -Semigroups
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The resolvent growth assumption for semigroups on Hilbert spaces