Geodesic
Invertibility of multivalued sublinear operators
Eurasian mathematical journal, Tome 6 (2015) no. 4, pp. 44-58

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

We consider the representation of a compact-valued sublinear operator ($K$-operator) by means of the compact convex packet of single-valued so-called basis selectors. Such representation makes it possible to introduce the concept of an invertible $K$-operator via invertible selectors. The extremal points of direct and inverse selector representations are described, an analogue of the von Neumann theorem is obtained. A series of examples is considered. 
@article{EMJ_2015_6_4_a4,
     author = {I. V. Orlov and S. I. Smirnova},
     title = {Invertibility of multivalued sublinear operators},
     journal = {Eurasian mathematical journal},
     pages = {44--58},
     publisher = {mathdoc},
     volume = {6},
     number = {4},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EMJ_2015_6_4_a4/}
}
TY  - JOUR
AU  - I. V. Orlov
AU  - S. I. Smirnova
TI  - Invertibility of multivalued sublinear operators
JO  - Eurasian mathematical journal
PY  - 2015
SP  - 44
EP  - 58
VL  - 6
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/EMJ_2015_6_4_a4/
LA  - en
ID  - EMJ_2015_6_4_a4
ER  - 
%0 Journal Article
%A I. V. Orlov
%A S. I. Smirnova
%T Invertibility of multivalued sublinear operators
%J Eurasian mathematical journal
%D 2015
%P 44-58
%V 6
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/EMJ_2015_6_4_a4/
%G en
%F EMJ_2015_6_4_a4
I. V. Orlov; S. I. Smirnova. Invertibility of multivalued sublinear operators. Eurasian mathematical journal, Tome 6 (2015) no. 4, pp. 44-58. http://geodesic.mathdoc.fr/item/EMJ_2015_6_4_a4/