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.
rearrangement invariant Banach function spaces
scientific article; zbMATH DE number 938553
scientific article