Quasi-linear maps
Volume 198 / 2008
Fundamenta Mathematicae 198 (2008), 1-15
MSC: Primary 28C15.
DOI: 10.4064/fm198-1-1
Abstract
A quasi-linear map from a continuous function space $C(X)$ is one which is linear on each singly generated subalgebra. We show that the collection of quasi-linear functionals has a Banach space pre-dual with a natural order. We then investigate quasi-linear maps between two continuous function spaces, classifying them in terms of generalized image transformations.
