Abstract
We solve a problem of Lacey by showing that there exist a metrizable compact space K and a closed space H in C(K) containing constants such that H is maximal with respect to its boundary and H is not a Lindenstrauss space.
We solve a problem of Lacey by showing that there exist a metrizable compact space K and a closed space H in C(K) containing constants such that H is maximal with respect to its boundary and H is not a Lindenstrauss space.