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Orthogonality in normed spaces
Published online by Cambridge University Press: 17 April 2009
Abstract
Some properties which different definitions or orthogonality in a normed space can possess are considered. It is shown that orthogonality can be defined on any separable space with many of the properties possessed by the usual orthogonality in an inner-product space, but that the possession of a further property forces the space to be isomorphic to a Euclidean space.
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- Copyright © Australian Mathematical Society 1986
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