Geodesic
Characterisations of bounded linear and compact operators on the generalised hahn space
Filomat, Tome 36 (2022) no. 2, p. 497

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

We establish the characterisations of the classes of bounded linear operators from the generalised Hahn sequence space h d , where d is an unbounded monotone increasing sequence of positive real numbers, into the spaces w 0 , w and w ∞ of sequences that are strongly summable to zero, strongly summable and strongly bounded by the Cesàro method of order one. Furthermore, we prove estimates for the Hausdorff measure of noncompactness of bounded linear operators from h d into w, and identities for the Hausdorff measure of noncompactness of bounded linear operators from h d to w 0 , and use these results to characterise the classes of compact operators from h d to w and w 0. Finally, we provide an example for an application of our results
DOI : 10.2298/FIL2202497D
Classification : 46A45, 40C05, 46B45, 47H08
Keywords: Generalised Hahn sequence space, bounded linear operators, Hausdorff measure of noncompactness, compact operators 
Diana Dolićanin-Dekić; Ersin Gilić. Characterisations of bounded linear and compact operators on the generalised hahn space. Filomat, Tome 36 (2022) no. 2, p. 497 . doi: 10.2298/FIL2202497D
@article{10_2298_FIL2202497D,
     author = {Diana Doli\'canin-Deki\'c and Ersin Gili\'c},
     title = {Characterisations of bounded linear and compact operators on the generalised hahn space},
     journal = {Filomat},
     pages = {497 },
     year = {2022},
     volume = {36},
     number = {2},
     doi = {10.2298/FIL2202497D},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2202497D/}
}
TY  - JOUR
AU  - Diana Dolićanin-Dekić
AU  - Ersin Gilić
TI  - Characterisations of bounded linear and compact operators on the generalised hahn space
JO  - Filomat
PY  - 2022
SP  - 497 
VL  - 36
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2202497D/
DO  - 10.2298/FIL2202497D
LA  - en
ID  - 10_2298_FIL2202497D
ER  - 
%0 Journal Article
%A Diana Dolićanin-Dekić
%A Ersin Gilić
%T Characterisations of bounded linear and compact operators on the generalised hahn space
%J Filomat
%D 2022
%P 497 
%V 36
%N 2
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2202497D/
%R 10.2298/FIL2202497D
%G en
%F 10_2298_FIL2202497D

Cité par Sources :