Projection constants of almost-Milyutin spaces

Abstract

We prove that there exist almost-Milyutin spaces whose projection constants are numbers of the form $1+2\sum_{i=1}^{r}\left(1-\frac{1}{n_{i}}\right)$, where $n_{1},...,n_{r}$ are integers greater than 1. This generalizes our earlier results, where we showed the existence of almost-Milyutin spaces with exact projection constant greater or egual to n, for each positive integer n.