Differentiable semigroups are Lie groups
We present here a modern, detailed proof to the following theorem which was introduced by Garrett Birkhoff [1] in 1938. If S is a local semigroup with neighborhood of 1 homeomorphic to a Banach space and with multiplication strongly differentiable at 1, then S is a local Lie Group. Although this the...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Hindawi Limited
1995-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
Subjects: | |
Online Access: | http://dx.doi.org/10.1155/S0161171295000652 |