Stone-Weierstrass theorem

• Autorzy: Guy Laville , Ivan P. Ramadanoff
• Języki publikacji: EN

Abstrakty

EN

It will be shown that the Stone-Weierstrass theorem for Clifford-valued functions is true for the case of even dimension. It remains valid for the odd dimension if we add a stability condition by principal automorphism.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1996
• Tom: 37
• Numer: 1
• Strony: 189-194

Daty

wydano

1996

Twórcy

autor

Guy Laville

• Université de Caen, Département de Mathématiques, Esplanade de la Paix, 14032 Caen Cedex, France

autor

Ivan P. Ramadanoff

• Université de Caen, Département de Mathématiques, Esplanade de la Paix, 14032 Caen Cedex, France

Bibliografia

• [1] R. Delanghe, F. Sommen, V. Souček, Clifford Algebra and Spinor-valued functions, Kluwer.
• [2] J. Dugundji, Topology, Allyn and Bacon.
• [3] W. Feller, An introduction to the theory of Probability and its applications, J. Wiley.
• [4] D. Hestenes, G. Sobczyk, Clifford Algebra to Geometric Calculus, Reidel.