Document Type
Thesis
Date of Degree Completion
Summer 1971
Degree Name
Master of Science (MS)
Department
Mathematics
Committee Chair
William S. Eberly
Second Committee Member
Kenneth O. Gamon
Third Committee Member
Robert Y. Dean
Abstract
This paper presents three definitions of orthogonality in normed spaces. Each definition is shown equivalent to the inner product being zero when restricted to an inner product space. The definitions arise from such properties in two space as the diagonals of a rectangle being equal and the Pythagorean Theorem. The third definition shows that the idea of an inner product can be generalized under certain conditions.
Recommended Citation
McCarthy, Martin R., "Orthogonality in Normed Spaces" (1971). All Master's Theses. 1658.
https://digitalcommons.cwu.edu/etd/1658
Language
English