Geodesic
On positive invertibility and splittings of operators in ordered Banach spaces
Vladikavkazskij matematičeskij žurnal, Tome 15 (2013) no. 1, pp. 41-50 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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K. C. Sivakumar; M. R. Weber. On positive invertibility and splittings of operators in ordered Banach spaces. Vladikavkazskij matematičeskij žurnal, Tome 15 (2013) no. 1, pp. 41-50. http://geodesic.mathdoc.fr/item/VMJ_2013_15_1_a5/

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