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.
Journal of Mathematical Analysis and Applications
Botelho, F. (2008). Projections as convex combinations of surjective isometries on C (Ω). Journal of Mathematical Analysis and Applications, 341 (2), 1163-1169. https://doi.org/10.1016/j.jmaa.2007.10.070