Stability of the index of a linear relation under compact perturbations

Dana Gheorghe. "Stability of the index of a linear relation under compact perturbations." Studia Mathematica 180.1 (2007): 95-102. <http://eudml.org/doc/284675>.

@article{DanaGheorghe2007,
abstract = {We prove the stability under compact perturbations of the algebraic index of a Fredholm linear relation with closed range acting between normed spaces. Our main tool is a result concerning the stability of the index of a complex of Banach spaces under compact perturbations.},
author = {Dana Gheorghe},
journal = {Studia Mathematica},
keywords = {Fredholm operators; index; Banach space complexes; linear relations},
language = {eng},
number = {1},
pages = {95-102},
title = {Stability of the index of a linear relation under compact perturbations},
url = {http://eudml.org/doc/284675},
volume = {180},
year = {2007},
}

TY - JOUR
AU - Dana Gheorghe
TI - Stability of the index of a linear relation under compact perturbations
JO - Studia Mathematica
PY - 2007
VL - 180
IS - 1
SP - 95
EP - 102
AB - We prove the stability under compact perturbations of the algebraic index of a Fredholm linear relation with closed range acting between normed spaces. Our main tool is a result concerning the stability of the index of a complex of Banach spaces under compact perturbations.
LA - eng
KW - Fredholm operators; index; Banach space complexes; linear relations
UR - http://eudml.org/doc/284675
ER -