Geodesic
On positive invertibility and splittings of operators in ordered Banach spaces
Vladikavkazskij matematičeskij žurnal, Tome 15 (2013) no. 1, pp. 41-50

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{VMJ_2013_15_1_a5,
     author = {K. C. Sivakumar and M. R. Weber},
     title = {On positive invertibility and splittings of operators in ordered {Banach} spaces},
     journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
     pages = {41--50},
     publisher = {mathdoc},
     volume = {15},
     number = {1},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/VMJ_2013_15_1_a5/}
}
TY  - JOUR
AU  - K. C. Sivakumar
AU  - M. R. Weber
TI  - On positive invertibility and splittings of operators in ordered Banach spaces
JO  - Vladikavkazskij matematičeskij žurnal
PY  - 2013
SP  - 41
EP  - 50
VL  - 15
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VMJ_2013_15_1_a5/
LA  - en
ID  - VMJ_2013_15_1_a5
ER  - 
%0 Journal Article
%A K. C. Sivakumar
%A M. R. Weber
%T On positive invertibility and splittings of operators in ordered Banach spaces
%J Vladikavkazskij matematičeskij žurnal
%D 2013
%P 41-50
%V 15
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VMJ_2013_15_1_a5/
%G en
%F VMJ_2013_15_1_a5
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/