STOKES-TYPE INTEGRAL EQUALITIES FOR SCALARLY ESSENTIALLY INTEGRABLE LOCALLY CONVEX VECTOR-VALUED FORMS WHICH ARE FUNCTIONS OF AN UNBOUNDED SPECTRAL OPERATOR

In this work we establish a Stokes-type integral equality for scalarly essentially integrable forms on an orientable smooth manifold with values in the locally convex linear space $\langle B(G),\sigma(B(G),\mathcal{N})\rangle$, where $G$ is complex Banach and $\mathcal{N}$ suitable subspace of norm dual $B(G)$. This result widely extends Newton-Leibnitz-type stated one our previous articles. To obtain generalize main that article, employ Stokes theorem vector valued established prodromic paper. Two facts are remarkable. Firstly integrated involved functions possibly unbounded scalar type spectral operator $G$. Secondly these need not be nor even continuously differentiable.