Renorming James tree space

Hájek, Petr; Rychtář, Jan

doi:10.1090/S0002-9947-05-03691-3

Renorming James tree space
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by Petr Hájek and Jan Rychtář PDF

Trans. Amer. Math. Soc. 357 (2005), 3775-3788 Request permission

Abstract:

We show that the James tree space $JT$ 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.

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