Two counter-examples in nonseparable Banach spaces

G.A. Alexandrov, M.I. Kadec
1994 Bulletin of the Australian Mathematical Society  
It is shown that the well-known theorem of Kadec for the Hr renorming of separable Banach spaces, when P is a norming subspace in the dual, cannot be extended to the class of nonseparable Banach spaces.
doi:10.1017/s0004972700016038 fatcat:bbcj5wbkincvdgbsx5xajq624y