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math.FA2008
Convexity and smoothness of Banach spaces with numerical index one
Vladimir Kadets, Miguel Martin, Javier Meri +1
We show that a Banach space with numerical index one cannot enjoy good convexity or smoothness properties unless it is one-dimensional. For instance, it has no WLUR points in its u…
math.FA2005
On the intrinsic and the spatial numerical range
Miguel Martin, Javier Meri, Rafael Paya
For a bounded function from the unit sphere of a closed subspace of a Banach space , we study when the closed convex hull of its spatial numerical range is equal…