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A result concerning additive maps on the set of quaternions and an application
Published online by Cambridge University Press: 17 April 2009
Abstract
We determine all additive F, G: ℍ → ℝ and multiplicative M: H → ℝ satisfying the functional equation F(λ) + M(λ)G(λ−1) = 0. As an application we generalise Kurepa's solution of one of Halperin's problem concerning quadratic functionals.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 44 , Issue 3 , December 1991 , pp. 477 - 482
- Copyright
- Copyright © Australian Mathematical Society 1991
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