Characterisations of open multivalued linear operators

T. Álvarez. "Characterisations of open multivalued linear operators." Studia Mathematica 175.3 (2006): 205-212. <http://eudml.org/doc/285335>.

@article{T2006,
abstract = {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.},
author = {T. Álvarez},
journal = {Studia Mathematica},
keywords = {multivalued linear operator; linear relation; linear normed space; open linear relation; semi-Fredholm property; perturbation},
language = {eng},
number = {3},
pages = {205-212},
title = {Characterisations of open multivalued linear operators},
url = {http://eudml.org/doc/285335},
volume = {175},
year = {2006},
}

TY - JOUR
AU - T. Álvarez
TI - Characterisations of open multivalued linear operators
JO - Studia Mathematica
PY - 2006
VL - 175
IS - 3
SP - 205
EP - 212
AB - 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.
LA - eng
KW - multivalued linear operator; linear relation; linear normed space; open linear relation; semi-Fredholm property; perturbation
UR - http://eudml.org/doc/285335
ER -