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|Paper IPM / M / 11324||
Let A be a Banach algebra. In this paper, among the other things, we present a few results in the theory of homomorphisms on A*. We want to find out when the equality T(af)=aT(f) for every a ∈ A and f ∈ A* implies the equality T(Ff)=FT(f) for every f ∈ A* and F ∈ A**. One of the main results of this paper is to introduce and study the notion of a weakly almost periodic operator.
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