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On Conditions of Differentiability of Locally Compact Groups

Published online by Cambridge University Press:  22 January 2016

Masatake Kuranishi
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A formulation of the differentiability of the product function of a locally compact group at the identity may be given in the following way: In a sufficiently small euclidean neighborhood of the identity product satisfies the condition:

where M(λ) is a function such that M(λ) → 0 as λ → 0, From this we can deduce easily

.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 1 , June 1950 , pp. 71 - 81
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1950

References

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