Abstract
Let V be a vector space over a field F. A linear transformation from V to F, considered as a vector space of dimension 1 over itself, is called a linear functional on V. The space Hom(V, F) of all linear functionals on V is called the dual space of V', and will be denoted by D(V). Since dim(F) = 1, we note that every linear functional other than the 0-map is an epimorphism.
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© 1995 Springer Science+Business Media Dordrecht
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Golan, J.S. (1995). The Dual Space. In: Foundations of Linear Algebra. Kluwer Texts in the Mathematical Sciences, vol 11. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8502-6_13
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DOI: https://doi.org/10.1007/978-94-015-8502-6_13
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4592-8
Online ISBN: 978-94-015-8502-6
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