Geodesic
Characterisations of open multivalued linear operators
T. Álvarez1
1 Department of Mathematics University of Oviedo 33007, Oviedo, Spain
Studia Mathematica, Tome 175 (2006) no. 3, pp. 205-212

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

The class of all open linear relations is characterised in terms of the restrictions of the linear relations to finite-codimensional subspaces. As an application, we establish two results, the first of which shows that an upper semi-Fredholm linear relation retains its index under finite rank perturbations, and the second is a density theorem for lower bounded linear relations that have closed range. Results of Labuschagne and of Mbekhta about linear operators are covered.
DOI : 10.4064/sm175-3-1
Keywords: class linear relations characterised terms restrictions linear relations finite codimensional subspaces application establish results first which shows upper semi fredholm linear relation retains its index under finite rank perturbations second density theorem lower bounded linear relations have closed range results labuschagne mbekhta about linear operators covered

T. Álvarez 1

1 Department of Mathematics University of Oviedo 33007, Oviedo, Spain 
@article{10_4064_sm175_3_1,
     author = {T. \'Alvarez},
     title = {Characterisations of open multivalued linear operators},
     journal = {Studia Mathematica},
     pages = {205--212},
     publisher = {mathdoc},
     volume = {175},
     number = {3},
     year = {2006},
     doi = {10.4064/sm175-3-1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm175-3-1/}
}
TY  - JOUR
AU  - T. Álvarez
TI  - Characterisations of open multivalued linear operators
JO  - Studia Mathematica
PY  - 2006
SP  - 205
EP  - 212
VL  - 175
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm175-3-1/
DO  - 10.4064/sm175-3-1
LA  - en
ID  - 10_4064_sm175_3_1
ER  - 
%0 Journal Article
%A T. Álvarez
%T Characterisations of open multivalued linear operators
%J Studia Mathematica
%D 2006
%P 205-212
%V 175
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/sm175-3-1/
%R 10.4064/sm175-3-1
%G en
%F 10_4064_sm175_3_1
T. Álvarez. Characterisations of open multivalued linear operators. Studia Mathematica, Tome 175 (2006) no. 3, pp. 205-212. doi: 10.4064/sm175-3-1

Cité par Sources :