Spectral Mapping Theorems for C0‐groups Satisfying Non‐quasianalytic Growth Conditions

DOI10.1002/mana.19941690115zbMath0941.47036OpenAlexW1978388981MaRDI QIDQ4321091

Rainer Nagel, Sen-Zhong Huang

Publication date: 7 August 2000

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.19941690115

zbMATH Keywords

\(C_0\)-semigroupBeurling algebras\(A=0\) problemweak spectral mapping theorem

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06)

Related Items

Holomorphic continuations of \(C_ 0\)-groups on Banach spaces ⋮ A spectral mapping theorem for representations of one-parameter groups ⋮ \(C_ 0\)-groups and \(C_ 0\)-semigroups of linear operators on hereditarily indecomposable Banach spaces ⋮ On Bernstein type theorems concerning the growth of derivatives of entire functions ⋮ Weak spectral mapping theorems for \(C_0\)-groups associated to transport equations in slab geometry

Cites Work

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• Harmonic analysis based on certain commutative Banach algebras
• The spectrum of quasi-invertible disjointness preserving operators
• Operators which are annihilated by analytic functions and invariant subspaces
• Introduction to the theory of Banach representations of groups. Transl. from the Russian by A. Jacob

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