Parviz Sadat Hosseini, Bahmann Yousefi Payame Noor University, Payame Noor University
Abstract : We call a sequence $(T_n)_n$ of bounded operators on a Banach space X, BSC-Sequence if it is a Cauchy sequence in the strong operator topology and is uniformly bounded below. We determine conditions under which such sequences has a fixed point.
Keywords : orbit of an operator, $J$-sets, $J^{mix} $-sets, $J$-class operator
