A note on the Stone-Weierstrass theorem for quaternions

Holladay, John C.

doi:10.1090/S0002-9939-1957-0087047-7

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

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A note on the Stone-Weierstrass theorem for quaternions
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by John C. Holladay

Proc. Amer. Math. Soc. 8 (1957), 656-657

DOI: https://doi.org/10.1090/S0002-9939-1957-0087047-7

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References

M. H. Stone, Applications of the theory of Boolean rings to general topology, Trans. Amer. Math. Soc. 41 (1937), no. 3, 375–481. MR 1501905, DOI 10.1090/S0002-9947-1937-1501905-7
Nelson Dunford, Spectral theory in abstract spaces and Banach algebras, Proceedings of the Symposium on Spectral Theory and Differential Problems, Oklahoma Agricultural and Mechanical College, Stillwater, Okla., 1951, pp. 1–65. MR 0044039