N. E. Gretsky and J. J. Uhl, Jr. Representations of bounded linear operators on Banach function spaces of vector-valued functions to Banach spaces are given in terms of operator-valued measures. Then ...
We construct an entire function in the Eremenko-Lyubich class [symbol] whose Julia set has only bounded path-components. This answers a question of Eremenko from 1989 in the negative. On the other ...