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A Note on Semigroups of Mappings on Banach Spaces
Published online by Cambridge University Press: 09 April 2009
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In a series of papers K. D. Magill, Jr. (see [1] and its references) has proved that, in various semigroups of mappings on topological spaces, every automorphism is inner, where an automorphism φ of a semigroup A is a bijection of A such that for all ƒ and g in A, and it is said to be inner if there exists a bijection h ∈ A such that h−1 (the inverse of h) belongs to A and
for every ƒ ∈ A.
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- Copyright © Australian Mathematical Society 1969
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