CodiceQDD 104
TitoloA Class of P-convex Spaces Lacking Normal Structure
Autore/iElisabetta Maluta
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AbstractWe consider a family of renormings of the infinite-dimensional separable Hilbert space introduced in literature by R.C. James in the sixties and prove that all its members are P-convex. It is known that these spaces lack normal structure when they are sufficiently far, in the sense of the Banach-Mazur distance, from being Hilbert, hence our result provides the first example of a P-convex space without normal structure.