Browsing University of MissouriColumbia by Thesis Advisor "Casazza, Peter G., 1945"
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Complemented block bases of symmetric bases and spectral tetris fusion frame constructions
(University of MissouriColumbia, 2012)This work contains of two parts which are totally unrelated. In the first part we consider techniques surrounding the problem whether a complemented subspace spanned by a block basis of a Banach space with unconditional ... 
Existence and construction of realvalued equiangular tight frames
(University of MissouriColumbia, 2009)This paper presents results on realvalued equiangular tight frames (ETFs) and related topics. Some geometric theorems are developed, and aspects of frame theory are used to gain insight into ETFs. We develop a projection ... 
Frames and projections
(University of MissouriColumbia, 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
(University of MissouriColumbia, 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 ...