Description:
<jats:p>By the term “locally convex space”, we mean a locally convex Hausdorff topological vector space (see [17]). We shall denote the algebraic dual of a locally convex space <jats:italic>E</jats:italic> by <jats:italic>E</jats:italic>*, and its topological dual by <jats:italic>E</jats:italic>′. It is convenient to think of the elements of <jats:italic>E</jats:italic> as being linear functionals on <jats:italic>E</jats:italic>′, so that <jats:italic>E</jats:italic> can be identified with a subspace of <jats:italic>E</jats:italic>′*. The adjoint of a continuous linear map <jats:italic>T</jats:italic>:<jats:italic>E</jats:italic>→<jats:italic>F</jats:italic> will be denoted by <jats:italic>T</jats:italic>′:<jats:italic>F</jats:italic>′→<jats:italic>E</jats:italic>′. If 〈<jats:italic>E, F</jats:italic>〈 is a dual pair of vector spaces, then we shall denote the corresponding weak, strong and Mackey topologies on <jats:italic>E</jats:italic> by α(<jats:italic>E, F</jats:italic>), β(<jats:italic>E, F</jats:italic>) and μ(<jats:italic>E, F</jats:italic>) respectively.</jats:p>