Affiliation: | Department of Mathematics, Faculty of Education, Toyama University, Toyama 930-0855, Japan ; Department of Mathematics, Faculty of Science, Niigata University, Niigata 950-2181, Japan |
Abstract: | We define a quotient of bounded operators and on a Hilbert space with a kernel condition as the mapping , . A quotient is said to be positive symmetric if . In this paper, we give a simple construction of positive selfadjoint extensions of a given positive symmetric quotient . |