Projections as convex combinations of surjective isometries on C (Ω)


We study properties of operators that are in the convex hull of a finite set of surjective isometries on the Banach space of complex valued continuous maps defined on a compact and connected topological space. We characterize those projections that are in the convex combination of two surjective isometries and we show that they are generalized bi-circular projections. © 2007.

Publication Title

Journal of Mathematical Analysis and Applications