one obtains the representation $$\label{henillla}
 (\st_{H})_{\rm r}[h,k]=( ((H_{r}))_{\s}^{\half}h, ((H_{r})_{\s})^{\half} k), \quad
 h,k \in \dom (\st_{H})_{\rm r}=\dom ((H_{r})_{\s})^{\half},$$ cf. Theorem \[s-repr0o\]. Now apply Corollary \[old\] and therefore one may formulate the second representation theorem as follows.

\[s-third\] Let $H$ be a maximal sectorial relation in $\sH$, let the closed sectorial form $\st_H$ correspond to $H$ via Theorem \[s-first\], and let $H_{\rm r}$ be the real part of $H$. Then there exists a selfadjoint operator $G \in \mathbf{B}(\sH)$ with $\| G \| = \tan \alpha$, such that $G$ is trivial on $\ker H_{\rm r} \oplus \mul H_{\rm r}$, and $$\label{sss-}
 \st_H[h,k]=((I +iG) ((H_{\rm r})_{\rm s})^{\half} h, ((H_{\rm r})_{\rm s})^{\half} k),
 \quad
 h,k \in \dom \st_H =\dom H_{\rm r}^{\half}.$$ Moreover, the maximal sectorial relation $H$ is given by $$\label{sss-+}
 H=(((H_{\rm r})_{s})^{\half})^{\times}(I+iG)((H_{\rm r})_{s})^{\half},$$ with $\mul H=\mul H_{\rm r}$.

Next, it is assumed that $H$ is a maximal sectorial relation of the form $H=T^{*}(I+iB)T$, where $T$ is a closed linear relation from a Hilbert space $\sH$ to a Hilbert space $\sK$ and the operator $B \in \mathbf{B}(\sK)$ is selfadjoint. Let the operators $C_0$ and $C$ be defined by and , then $$H= (T_{\s})^{\times}\, C_0^{1/2}(I+i C) C_0^{1/2}\,T_{\s},$$ while the corresponding closed sectorial form is given $$\st[h,k]=((I+iC) 