We revisit the notion of reduced spectra sp F Phi for bounded measurable functions Phi E L infinity(J, X), F C L 1 loc(J, X). In Section 2, we give two examples which seem to be of independent interest for spectral theory. In Section 3, we prove a spectral inclusion result for bounded mild solutions of evolution equation where A is a closed linear operator on X, Phi L infinity (J, X) and t E J E R + R .
|Pages (from-to)||273 - 288|
|Number of pages||16|
|Journal||Far East Journal of Mathematical Sciences|
|Publication status||Published - 2012|