On ${\ell }_q$-strictly singular operators on variable exponent spaces

Carlos Buelga, and Francisco L. Hernandez. "On $\ell _{q}$-strictly singular operators on variable exponent spaces." Commentationes Mathematicae 55.2 (2015): null. <http://eudml.org/doc/292428>.

@article{CarlosBuelga2015,
abstract = {Strictly singular operators on variable exponent (or Nakano) function spaces $L^\{p\left(\cdot \right)\}$ are characterized in terms of being $\ell _\{q\}$-strictly singular for the values $q$ in the essential range $R_\{p\left(\cdot \right)\}$ of the exponent function. This extends a result of L. Weiss [On perturbations of Fredholm operators in $L_\{p\}$-spaces, Proc. Amer. Math. Soc. 67 (1977), 287-292] for $L^\{p\}$-spaces.},
author = {Carlos Buelga, Francisco L. Hernandez},
journal = {Commentationes Mathematicae},
keywords = {Variable exponent spaces, strictly singular operators},
language = {eng},
number = {2},
pages = {null},
title = {On $\ell _\{q\}$-strictly singular operators on variable exponent spaces},
url = {http://eudml.org/doc/292428},
volume = {55},
year = {2015},
}

TY - JOUR
AU - Carlos Buelga
AU - Francisco L. Hernandez
TI - On $\ell _{q}$-strictly singular operators on variable exponent spaces
JO - Commentationes Mathematicae
PY - 2015
VL - 55
IS - 2
SP - null
AB - Strictly singular operators on variable exponent (or Nakano) function spaces $L^{p\left(\cdot \right)}$ are characterized in terms of being $\ell _{q}$-strictly singular for the values $q$ in the essential range $R_{p\left(\cdot \right)}$ of the exponent function. This extends a result of L. Weiss [On perturbations of Fredholm operators in $L_{p}$-spaces, Proc. Amer. Math. Soc. 67 (1977), 287-292] for $L^{p}$-spaces.
LA - eng
KW - Variable exponent spaces, strictly singular operators
UR - http://eudml.org/doc/292428
ER -