Inequality of spectral bound and growth bound for positive semigroups in rearrangement invariant Banach function spaces
Copyright policy )Inequality of spectral bound and growth bound for positive semigroups in rearrangement invariant Banach function spaces
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.
- University of Tübingen Germany
rearrangement invariant Banach function spaces, One-parameter semigroups and linear evolution equations, Linear operators on function spaces (general), spectral bound, growth bound, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
rearrangement invariant Banach function spaces, One-parameter semigroups and linear evolution equations, Linear operators on function spaces (general), spectral bound, growth bound, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
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