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 ...
It is shown that on every infinite-dimensional separable normed space there exist continuous real-valued functions that are nowhere locally uniformly continuous. An ...
This book contains details of the properties that satisfy certain function spaces and vector-valued distributions defined in the n-dimensional torus. In particular, the text deals with an introductory ...