Videos

Products of Projections II

Presenter
August 19, 2011
Keywords:
  • quantitative geometry
  • embedding theorems
  • random sequences of symmetries
  • Banach space
  • orthogonality
MSC:
  • 47A46
  • 47Axx
  • 47-xx
  • 46-xx
  • 46Cxx
  • 46C07
Abstract
Let X and Y be two closed subspaces of a Hilbert space. If we send a point back and forth between them by orthogonal projection, the iterates converge to the projection of the point on the intersection of X and Y. We will investigate when a sequence of orthoprojections of a point in a Hilbert space on a finite family of closed subspaces, or more generally, closed convex subsets, converges.