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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
1

Radial Versus Othogonal and Minimal Projections onto Hyperplanes in l_4^3

Warner, Richard Alan 16 September 2015 (has links)
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.

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