On the topology induced by the adjoint of a semigroup of operators (Q1179491)

The paper gives some results in adjoint semigroup theory on the relation between the weak topology in a Banach space \(X\) and the \(\sigma (X,X^ \odot)\) topology induced by the adjoint of a \(C_ 0\)-semigroup on \(X\). There are characterizations of the sets \(G\) that are \(\sigma(X,X^ \odot)\) closed and the definition of a class of equicontinuous sets with respect to a semigroup \(T(t)\). These results are used to study the so- called Favard calss of semigroups.