Köthe-Orlicz vector-valued weakly sequence spaces of difference operators

Authors

  • Anu Choudhary Department of Mathematics, Shri Mata Vaishno Devi University, Katra-182320, J & K (India)
  • K. Raj Department of Mathematics, Shri Mata Vaishno Devi University, Katra-182320, J & K (India)

DOI:

Keywords:

Weakly sequence, lacunary sequence, Musielak-Orlicz function, differenceoperator, $n$-normed space, infinite matrix

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.

Downloads

Published

2019-06-25

Issue

Vol. 25 No. 2 (2019)

Section

Articles

How to Cite

Choudhary, Anu, and K. Raj. “Köthe-Orlicz Vector-Valued Weakly Sequence Spaces of Difference Operators”. Methods of Functional Analysis and Topology, vol. 25, no. 2, June 2019, pp. 161-76, https://zen.imath.kiev.ua/index.php/mfat/article/view/720.