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On the semigroup of differentiable mappings (II)

Published online by Cambridge University Press:  18 May 2009

G. R. Wood and
Sadayuki Yamamuro
G. R. Wood
Affiliation:
Institute of Advanced Studies, Australian National University, Canberra
Sadayuki Yamamuro
Affiliation:
Institute of Advanced Studies, Australian National University, Canberra
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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.

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 13 , Issue 2 , September 1972, pp. 122 - 128
Copyright
Copyright © Glasgow Mathematical Journal Trust 1972

References

REFERENCES

1.Banach, S., Théorie des opérations linéaires (Warsaw, 1932).Google Scholar
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5.Yamamuro, S., On the semigroup of differentiable mappings, J. Australian Math. Soc. 10 (1969), 503–510.CrossRefGoogle Scholar