Geodesic
Duals of generalized Orlicz Hilbert sequence spaces and matrix transformations
Filomat, Tome 37 (2023) no. 27, p. 9089

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

DOI

In this paper, we define the sequence spaces h c ∆ (m) v , M,u, p , h 0 ∆ (m) v , M,u, p and h ∞ ∆ (m) v , M,u, p resulting from the infinite Hilbert matrix and the Musielak-Orlicz function. We give some topological properties and inclusion relations of these newly created spaces. We also identified α−, β− and γ−duals of the spaces. Finally, we tried to characterize some matrix transformations between these spaces.
DOI : 10.2298/FIL2327089B
Classification : 40F05, 46A45, 15B05, 40C05
Keywords: Orlicz function, difference operator, Hilbert matrix, matrix transformations, α−, β−, γ−duals 
Damla Barlak; Çigdem Bektaş. Duals of generalized Orlicz Hilbert sequence spaces and matrix transformations. Filomat, Tome 37 (2023) no. 27, p. 9089 . doi: 10.2298/FIL2327089B
@article{10_2298_FIL2327089B,
     author = {Damla Barlak and \c{C}igdem Bekta\c{s}},
     title = {Duals of generalized {Orlicz} {Hilbert} sequence spaces and matrix transformations},
     journal = {Filomat},
     pages = {9089 },
     year = {2023},
     volume = {37},
     number = {27},
     doi = {10.2298/FIL2327089B},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2327089B/}
}
TY  - JOUR
AU  - Damla Barlak
AU  - Çigdem Bektaş
TI  - Duals of generalized Orlicz Hilbert sequence spaces and matrix transformations
JO  - Filomat
PY  - 2023
SP  - 9089 
VL  - 37
IS  - 27
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2327089B/
DO  - 10.2298/FIL2327089B
LA  - en
ID  - 10_2298_FIL2327089B
ER  - 
%0 Journal Article
%A Damla Barlak
%A Çigdem Bektaş
%T Duals of generalized Orlicz Hilbert sequence spaces and matrix transformations
%J Filomat
%D 2023
%P 9089 
%V 37
%N 27
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2327089B/
%R 10.2298/FIL2327089B
%G en
%F 10_2298_FIL2327089B

Cité par Sources :