Diameter 2 properties and convexity

Trond A. Abrahamsen, Peter Hájek, Olav Nygaard +2

We present an equivalent midpoint locally uniformly rotund (MLUR) renorming $X$ of $C[0,1]$ on which every weakly compact projection $P$ satisfies the equation $\Vert I-P\Vert =1+\Vert P\Vert$…