Approximation and Closedness of Sectorial Forms

We discuss the question whether the limit form of a sequence of closed, sectorial forms is closed itself. In particular, we prove a convergence theorem from below which assures the limiting form to be closed. As an application of this theorem, we show a different approach to show the closedness of elliptic forms with measurable coefficients. We also give an example of a densely defined, closed, elliptic form with nowhere locally integrable coefficients.