On positive invertibility and splittings of operators in ordered Banach spaces

Authors :: Sivakumar, K.C.
Weber, M.R.
Publication Year :: 2013
Publisher :: Владикавказский математический журнал, 2013.
Abstract: The positive invertibility of operators between Banach spaces, ordered by special closed cones, is characterized by the existence of splittings for the operators into the difference of two operators with appropriate spectral properties. Some results, up to now known only for matrices, are generalized to operators and to order intervals of operators.<br />№1 (2018)