Geodesic
On linear functionals on Clifford modules and their extensions
Informatics and Automation, 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. Informatics and Automation, Function spaces, approximation theory, and related problems of mathematical analysis, Tome 293 (2016), pp. 105-112. http://geodesic.mathdoc.fr/item/TRSPY_2016_293_a6/
@article{TRSPY_2016_293_a6,
     author = {I. A. Borovikov},
     title = {On linear functionals on {Clifford} modules and their extensions},
     journal = {Informatics and Automation},
     pages = {105--112},
     year = {2016},
     volume = {293},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2016_293_a6/}
}
TY  - JOUR
AU  - I. A. Borovikov
TI  - On linear functionals on Clifford modules and their extensions
JO  - Informatics and Automation
PY  - 2016
SP  - 105
EP  - 112
VL  - 293
UR  - http://geodesic.mathdoc.fr/item/TRSPY_2016_293_a6/
LA  - ru
ID  - TRSPY_2016_293_a6
ER  - 
%0 Journal Article
%A I. A. Borovikov
%T On linear functionals on Clifford modules and their extensions
%J Informatics and Automation
%D 2016
%P 105-112
%V 293
%U http://geodesic.mathdoc.fr/item/TRSPY_2016_293_a6/
%G ru
%F TRSPY_2016_293_a6

Voir la notice de l'article 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