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• W1671763374 abstract "We revisit the notion of reduced spectra spF(�) for bounded measurable functions � 2 L 1 (J,X), FL 1 (J,X). We show that it can not be obtained via Carleman spectra unless � 2 BUC(J,X) and FBUC(J,X). In section 3, we give two examples which seem to be of independent interest for spectral theory. In section 4, we prove a spectral criteria for bounded mild solutions of evolution equation (*) du(t) dt = Au(t) + �(t), u(0) = x 2 X, t 2 J, where A is a closed linear operator on X and � 2 L 1 (J,X) where J 2 {R+,R}." @default.
• W1671763374 created "2016-06-24" @default.
• W1671763374 creator A5040681947 @default.
• W1671763374 creator A5049842792 @default.
• W1671763374 date "2010-06-10" @default.
• W1671763374 modified "2023-09-27" @default.
• W1671763374 title "SPECTRAL CRITERIA FOR SOLUTIONS OF EVOLUTION EQUATIONS AND COMMENTS ON REDUCED SPECTRA" @default.
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