Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Serdica Mathematical Journal, Vol. 30, No 4, (2004), 527p-548p
For weakly compact subsets of Hilbert spaces K, we study the
existence of totally disconnected spaces L, such that C(K) is isomorphic
We prove that the space C(BH ) admits a Pełczyński decomposition and
we provide a starshaped weakly compact K, subset of BH with non-empty
interior in the norm topology, and such that C(K) ~= C(L) with L totally disconnected.