Title: Semilinearity: a matter of identity and conjugation
Abstract: Amapping from one vector space to another vector space over the same field is linear if it is additive and it preserves scalar multiplication. This note demonstrates that a linear mapping is, in fact, a particular example from a class of mappings known as semilinear mappings. In the case of complex vector space a semilinear mapping may be linear or conjugate linear and, unlike the real case, a bounded additive mapping is the sum of a linear and a conjugate linear mapping. The history and relevance of the semilinear mappings in mathematical physics and in pure mathematics are indicated.
Publication Year: 1997
Publication Date: 1997-05-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 1
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