Differentiable semigroups with a neighborhood of the identity homeomorphic to a Banach space
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- by J. W. Neuberger PDF
- Proc. Amer. Math. Soc. 34 (1972), 595-600 Request permission
Abstract:
Suppose S is a topological semigroup with identity e, H is a Banach space and there is a homeomorphism g from an open subset of S containing e onto H. Theorem. Suppose that $V(x,y) = g({g^{ - 1}}(x){g^{ - 1}}(y))$ for all x, y in H for which the second expression is defined. If V is ${C^{(2)}}$ then there is an open subset D of S containing e so that if q is in D, then for some number t and some one-parameter subgroup f of S, $q = f(t)$.References
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Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 34 (1972), 595-600
- MSC: Primary 22A20
- DOI: https://doi.org/10.1090/S0002-9939-1972-0296208-1
- MathSciNet review: 0296208