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A note on integrability of the norm of a perturbed semigroup

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Publication:777315
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DOI10.1007/s00025-020-01231-2OpenAlexW3036758583MaRDI QIDQ777315

Adam Bobrowski

Publication date: 7 July 2020

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-020-01231-2


zbMATH Keywords

asymptotic behaviorsemigroups of operatorscommutatorintegrability of norms


Mathematics Subject Classification ID

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


Related Items (1)

Uniform exponential stability of perturbed semigroups: the Dyson-Phillips formula versus Gil's approach via commutators



Cites Work

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  • A simple counterexample related to the Lie-Trotter product formula
  • Semigroups of sums of two operators with small commutators
  • Norm estimates for a semigroup generated by the sum of two operators with an unbounded commutator
  • A survey on perturbed exponentially stable \(C_0\)-semigroups
  • Convergence of One-Parameter Operator Semigroups
  • One-Parameter Semigroups for Linear Evolution Equations


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