Dual Clifford modules
- Autores: Borovikov I.1
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Afiliações:
- Moscow Power Engineering Institute
- Edição: Volume 94, Nº 2 (2016)
- Páginas: 523-526
- Seção: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/224237
- DOI: https://doi.org/10.1134/S1064562416050112
- ID: 224237
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Resumo
A relationship between the space dual to the realification of a module over a Clifford algebra and the realification of the dual of this module is established. This relationship is completely analogous to a similar classical relationship between the space dual to the realification of a complex vector space and the realification of the dual of the given space. On the basis of this relationship, questions concerning extension of linear functionals on Clifford modules, in particular, a counterpart of the Hahn–Banach theorem, are considered.
Sobre autores
I. Borovikov
Moscow Power Engineering Institute
Autor responsável pela correspondência
Email: borovikovia@mpei.ru
Rússia, Krasnokazarmennaya ul. 17, Moscow, 111250