Title: Representation Theorems for Solvable Sesquilinear Forms,
Abstract: New results are added to the paper [4] about q-closed and solvable
sesquilinear forms. The structure of the Banach space
$\mathcal{D}[||\cdot||_\Omega]$ defined on the domain $\mathcal{D}$ of a
q-closed sesquilinear form $\Omega$ is unique up to isomorphism, and the
adjoint of a sesquilinear form has the same property of q-closure or of
solvability. The operator associated to a solvable sesquilinear form is the
greatest which represents the form and it is self-adjoint if, and only if, the
form is symmetric. We give more criteria of solvability for q-closed
sesquilinear forms. Some of these criteria are related to the numerical range,
and we analyse in particular the forms which are solvable with respect to inner
products. The theory of solvable sesquilinear forms generalises those of many
known sesquilinear forms in literature.