Geodesic
On \(\ell_{q}\)-strictly singular operators on variable exponent spaces
Commentationes Mathematicae, Tome 55 (2015) no. 2, p. 147−155 Cet article a éte moissonné depuis la source Annales Societatis Mathematicae Polonae Series

Voir la notice de l'article

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.
DOI : 10.14708/cm.v55i2.1130
Classification : 47B38, 46E30.
Mots-clés : Variable exponent spaces, strictly singular operators 
@article{10_14708_cm_v55i2_1130,
     author = {Carlos Buelga and Francisco L. Hernandez},
     title = {On \(\ell_{q}\)-strictly singular operators on variable exponent spaces},
     journal = {Commentationes Mathematicae},
     pages = { 147\ensuremath{-}155},
     year = {2015},
     volume = {55},
     number = {2},
     doi = {10.14708/cm.v55i2.1130},
     language = {pl},
     url = {http://geodesic.mathdoc.fr/articles/10.14708/cm.v55i2.1130/}
}
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
SP  -  147−155
VL  - 55
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.14708/cm.v55i2.1130/
DO  - 10.14708/cm.v55i2.1130
LA  - pl
ID  - 10_14708_cm_v55i2_1130
ER  - 
%0 Journal Article
%A Carlos Buelga
%A Francisco L. Hernandez
%T On \(\ell_{q}\)-strictly singular operators on variable exponent spaces
%J Commentationes Mathematicae
%D 2015
%P  147−155
%V 55
%N 2
%U http://geodesic.mathdoc.fr/articles/10.14708/cm.v55i2.1130/
%R 10.14708/cm.v55i2.1130
%G pl
%F 10_14708_cm_v55i2_1130
Carlos Buelga; Francisco L. Hernandez. On \(\ell_{q}\)-strictly singular operators on variable exponent spaces. Commentationes Mathematicae, Tome 55 (2015) no. 2, p.  147−155. doi: 10.14708/cm.v55i2.1130

Cité par Sources :