Spectral criteria for solutions of evolution equations and comments on reduced spectra

Bolis Basit, Hans Günzler

We revisit the notion of reduced spectra $sp_{\Cal {F}} (ϕ)$ for bounded measurable functions $\varphi \in L^{\infty }(J,\mathbb{X})$, ${\Cal {F}}\subset L^1_{loc}(J,\Bbb{X})$. We show that…