Mathematical Institute, AV CR, Zitná 25, 115 67 Praha 1, Czech Republic ; Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta, Canada T6G 2G1
Abstract:
We show that the James tree space can be renormed to be Lipschitz separated. This negatively answers the question of J. Borwein, J. Giles and J. Vanderwerff as to whether every Lipschitz separated Banach space is an Asplund space.