Extreme and exposed symmetric bilinear forms on the space ${\mathcal L}_{s}(^2 l_{\infty}^2)$

Abstract

We classify extreme points and exposed points of the unit ball of the space of bilinear symmetric forms on the real Banach space of bilinear symmetric forms on $l_{\infty}^2.$ It is shown that for this case, the set of extreme points is equal to the set of exposed points.