Inequality of spectral bound and growth bound for positive semigroups in rearrangement invariant Banach function spaces (Q1924926)
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scientific article; zbMATH DE number 938553
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Inequality of spectral bound and growth bound for positive semigroups in rearrangement invariant Banach function spaces |
scientific article; zbMATH DE number 938553 |
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Inequality of spectral bound and growth bound for positive semigroups in rearrangement invariant Banach function spaces (English)
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22 November 1996
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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.
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rearrangement invariant Banach function spaces
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spectral bound
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growth bound
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0.90000486
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0.88761145
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0.8874262
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0.88392407
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0.88069683
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