%0 Journal Article %T Adjoints of elliptic cone operators %A Juan B. Gil %A Gerardo A. Mendoza %J Mathematics %D 2001 %I arXiv %X We study the adjointness problem for the closed extensions of a general b-elliptic operator A in x^{-\nu}Diff^m_b(M;E), \nu>0, initially defined as an unbounded operator A:C_c^\infty(M;E)\subset x^\mu L^2_b(M;E)\to x^\mu L^2_b(M;E), \mu \in \R. The case where A is a symmetric semibounded operator is of particular interest, and we give a complete description of the domain of the Friedrichs extension of such an operator. %U http://arxiv.org/abs/math/0108095v1