Geodesic
On linear functionals on Clifford modules and their extensions
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Function spaces, approximation theory, and related problems of mathematical analysis, Tome 293 (2016), pp. 105-112 
I. A. Borovikov. On linear functionals on Clifford modules and their extensions. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Function spaces, approximation theory, and related problems of mathematical analysis, Tome 293 (2016), pp. 105-112. http://geodesic.mathdoc.fr/item/TM_2016_293_a6/
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     author = {I. A. Borovikov},
     title = {On linear functionals on {Clifford} modules and their extensions},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {105--112},
     year = {2016},
     volume = {293},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2016_293_a6/}
}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

The central focus in the paper is on studying the relation between real dual spaces and dual Clifford modules. Extension problems for linear functionals on Clifford modules are addressed; in particular, an analog of the Hahn–Banach theorem is established.

[1] Raikov D.A., Vektornye prostranstva, Fizmatlit, M., 1962 | MR

[2] Sukhomlinov G.A., “O prodolzhenii lineinykh funktsionalov v kompleksnom i kvaternionnom lineinom prostranstve”, Mat. sb., 3:2 (1938), 353–358 | Zbl

[3] Bohnenblust H.F., Sobczyk A., “Extensions of functionals on complex linear spaces”, Bull. Amer. Math. Soc., 44:2 (1938), 91–93 | DOI | MR

[4] Postnikov M.M., Gruppy i algebry Li, (Lektsii po geometrii; Semestr 5)., Nauka, M., 1982 | MR

[5] Artin E., Geometricheskaya algebra, Nauka, M., 1969 | MR

[6] Leng S., Algebra, Mir, M., 1968

[7] Hile G.N., Lounesto P., “Matrix representations of Clifford algebras”, Linear Algebra Appl., 128 (1990), 51–63 | DOI | MR | Zbl