52 citations · 52 across the 3 of their papers we have counts for
3 papers
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.FA2006★ 52 cited
Recent progress and open questions on the numerical index of Banach spaces
Vladimir Kadets, Miguel Martin, Rafael Paya
The aim of this paper is to review the state-of-the-art of recent research concerning the numerical index of Banach spaces, by presenting some of the results found in the last year…
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…