Geodesic
On the semigroup of differentiable mappings (II)
Glasgow mathematical journal, Tome 13 (1972) no. 2, pp. 122-128

Voir la notice de l'article provenant de la source Cambridge University Press

In [2], K. D. Magill, Jr. has proved that every automorphism of the semigroup (with respect to composition) of all real-valued differentiable functions of a real variable is inner. The purpose of this paper is to generalize this fact to arbitrary finite-dimensional real Banach spaces. 
Wood, G. R.; Yamamuro, Sadayuki. On the semigroup of differentiable mappings (II). Glasgow mathematical journal, Tome 13 (1972) no. 2, pp. 122-128. doi: 10.1017/S001708950000152X
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[1] 1.Banach, S., Théorie des opérations linéaires (Warsaw, 1932). Google Scholar

[2] 2.Magill, K. D. Jr, Automorphisms of the semigroup of all differentiable functions, Glasgow Math. J. 8 (1967), 63–66. Google Scholar | DOI

[3] 3.Saks, S., Theory of the integral (New York, 1937). Google Scholar

[4] 4.Yamamuro, S., A note on semigroups of mappings on Banach spaces, J. Australian Math. Soc. 9 (1969), 455–464. Google Scholar | DOI

[5] 5.Yamamuro, S., On the semigroup of differentiable mappings, J. Australian Math. Soc. 10 (1969), 503–510. Google Scholar | DOI

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