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<p>In this note we extend perturbation results for positive <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="28_2024_1049_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="20" /> </InlineMediaObject> <EquationSource Format="TEX">\(C_0\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>C</mi> <mn>0</mn> </msub> </math></EquationSource> </InlineEquation>-semigroups on AM- and AL-spaces generalizing them to arbitrary Banach lattices in case the perturbation can be factorized appropriately. The abstract results are applied to domain perturbations of generators, a heat equation with boundary feedback and perturbations of the first derivative.</p>

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Perturbations of positive semigroups factorized via AM- and AL-spaces

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年1月13日

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  • Alessio Barbieri,
  • Klaus-Jochen Engel

摘要

In this note we extend perturbation results for positive \(C_0\) C 0 -semigroups on AM- and AL-spaces generalizing them to arbitrary Banach lattices in case the perturbation can be factorized appropriately. The abstract results are applied to domain perturbations of generators, a heat equation with boundary feedback and perturbations of the first derivative.