Graduation Year
2015
Document Type
Thesis
Degree
M.A.
Degree Name
Master of Arts (M.A.)
Degree Granting Department
Mathematics and Statistics
Major Professor
Leslaw Skrzypek, Ph.D.
Committee Member
Boris Shekhtman, Ph.D.
Committee Member
Manoug Manougian, Ph.D.
Keywords
minimal projection, radial projection, norming functional, hyperplane, norming point, relative projection constant, hyperplane constant
Abstract
In this thesis, we study the relationship between radial projections, and orthogonal and minimal projections in l_4^3. Specifically, we calculate the norm of the maximum radial projection and we prove that the hyperplane constant, with respect to the radial projection, is not achieved by a minimal projection in this space. We will also show our numerical results, obtained using computer software, and use them to approximate the norms of the radial, orthogonal, and minimal projections in l_4^3. Specifically, we show, numerically, that the maximum minimal projection is attained for ker{1,1,1} as well as compute the norms for the maximum radial and orthogonal projections.
Scholar Commons Citation
Warner, Richard Alan, "Radial Versus Othogonal and Minimal Projections onto Hyperplanes in l_4^3" (2015). USF Tampa Graduate Theses and Dissertations.
https://digitalcommons.usf.edu/etd/5794
