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.
Publication Year: 1995
Publication Date: 1995-01-01
Language: en
Type: book-chapter
Indexed In: ['crossref']
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