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A-bilinear forms and generalised A-quadratic forms on unitary left A-modules
Published online by Cambridge University Press: 17 April 2009
Abstract
In this paper we shall define a generalised A-quadratic form and prove that in some way this form and an A-bilinear form are equivalent to each other. Our result characterises that of Vukman in the sense that we use any n vectors for a fixed n ≥ 2, instead of any two vectors. Consequently, a new generalisation of an inner product space among vector spaces is obtained. This also leads to a new relationship between a 2-inner product space and a 2-normed space.
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- Copyright © Australian Mathematical Society 1989
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