Spaces of multipliers and their preduals for the order multiplication on $[0, 1]$
Volume 94 / 2002
Colloquium Mathematicum 94 (2002), 21-36
MSC: Primary 43A22.
DOI: 10.4064/cm94-1-2
Abstract
Let $I = [0, 1]$ be the compact topological semigroup with max multiplication and usual topology. $C(I)$, $L^p (I)$, $1 \leq p \le \infty $, are the associated Banach algebras. The aim of the paper is to characterise $\mathop {\rm Hom}\nolimits _{C(I)} (L^r (I), L^p (I))$ and their preduals.