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On the semigroup of differentiable mappings

To Bernhard Hermann Neumann on his 60th birthday

Published online by Cambridge University Press:  09 April 2009

Sadayuki Yamamuro
Sadayuki Yamamuro
Affiliation:
Australian National University and State University of New York at Buffalo
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The purpose of this paper is to improve a result in [2] on the automorphisms of the semigroup D = D(E) of all (Fréchet)-differentiable mappings of a real Banach space E into itself.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 10 , Issue 3-4 , November 1969 , pp. 503 - 510
Copyright
Copyright © Australian Mathematical Society 1969

References

[1]Magill, K. D. Jr, Automorphisms of the semigroup of all differentiable functions’, Glasgow Math. Journ. 8 (1967) 63–66.CrossRefGoogle Scholar
[2]Yamamuro, S., ‘A note on semigroups of mappings on Banach spaces’, Journ. Australian Math. Soc. 9 (1969) 455–464.Google Scholar