Inequality of spectral bound and growth bound for positive semigroups in rearrangement invariant Banach function spaces
type: Item
instance of: scholarly article
title: Inequality of spectral bound and growth bound for positive semigroups in rearrangement invariant Banach function spaces
zbMATH Open document ID: 0859.47031
DOI: 10.1007/BF01781559
author: Jan van Neerven
published in: Archiv der Mathematik
publication date: 1996-11-22T00:00:00Z
review text: Extending a recent example of Arendt, we study the semigroup \(T(t)f(s)= f(se^t)\) in rearrangement invariant Banach function spaces over \((1,\infty)\) and obtain various abstract conditions under which equality of spectral bound and growth bound fails.
Mathematics Subject Classification ID: 47D06
Mathematics Subject Classification ID: 46E30
Mathematics Subject Classification ID: 47B38
zbMATH DE Number: 938553
zbMATH Keywords: rearrangement invariant Banach function spaces
zbMATH Keywords: spectral bound
zbMATH Keywords: growth bound
MaRDI profile type: Publication
cites work: Q4315836
cites work: Q4039801
cites work: Q3923136
cites work: Q4046596
cites work: One-parameter semigroups of positive operators
cites work: Semigroups of linear operators and applications to partial differential equations
cites work: The Stability of Positive Semigroups on L p Spaces
cites work: Q3669960
full work available at URL: https://doi.org/10.1007/bf01781559
OpenAlex ID: W2048143278
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description: scientific article; zbMATH DE number 938553