Abstract
In the present article, we propose vector-valued weakly null, weakly convergent and weakly bounded sequences over n-normed spaces associated with infinite matrix, Musielak-Orlicz function and difference operator. We make an effort to study some algebraic and topological properties of these sequence spaces. Further, we shall investigate some inclusion relations between newly formed sequence spaces.
Key words: Weakly sequence, lacunary sequence, Musielak-Orlicz function, difference
operator, $n$-normed space, infinite matrix.
Full Text
Article Information
| Title | Köthe-Orlicz vector-valued weakly sequence spaces of difference operators |
| Source | Methods Funct. Anal. Topology, Vol. 25 (2019), no. 2, 161-176 |
| MathSciNet |
MR |
| Milestones | Received 15/10/2018; Revised 30/11/2018 |
| Copyright | The Author(s) 2019 (CC BY-SA) |
Authors Information
Anu Choudhary
Department of Mathematics, Shri Mata Vaishno Devi University, Katra-182320, J & K (India)
Kuldip Raj
Department of Mathematics, Shri Mata Vaishno Devi University, Katra-182320, J & K (India)
Citation Example
Anu Choudhary and Kuldip Raj, Köthe-Orlicz vector-valued weakly sequence spaces of difference operators, Methods Funct. Anal. Topology 25
(2019), no. 2, 161-176.
BibTex
@article {MFAT1171,
AUTHOR = {Anu Choudhary and Kuldip Raj},
TITLE = {Köthe-Orlicz vector-valued weakly sequence spaces of difference operators},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {25},
YEAR = {2019},
NUMBER = {2},
PAGES = {161-176},
ISSN = {1029-3531},
MRNUMBER = {MR},
URL = {http://mfat.imath.kiev.ua/article/?id=1171},
}
