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

hyperplane, hyperplane constant, minimal projection, radial projection, relative projection 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.

Included in

Mathematics Commons

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