• Frames and projections 

    Cahill, Jameson (University of Missouri--Columbia, 2013)
    In this dissertation we explore several ways in which the concept of projections arise infinite frame theory. In the first chapter we show that the Paulsen problem from frame theory is equivalent to a long standing open ...
  • Fusion frame constructions and frame partitions 

    Peterson, Jesse (University of Missouri--Columbia, 2013)
    Fusion frames consist of a sequence of subspaces from a Hilbert space and corresponding positive weights so that the sum of weighted orthogonal projections onto these subspaces is an invertible operator on the space. Despite ...