Vector valued multiple sequence spaces defined by Orlicz function

Binod Chandra Tripathy; Rupanjali Goswami

doi:10.5269/bspm.v33i1.21602

Vector valued multiple sequence spaces defined by Orlicz function

Authors

Binod Chandra Tripathy Institute of Advanced Study in Science and Technology Mathematical Science Division
Rupanjali Goswami Raha Higher Secondary School Department of Mathematics

DOI:

https://doi.org/10.5269/bspm.v33i1.21602

Keywords:

Orlicz function, completeness, seminorm, regular convergence, solid space

Abstract

In this article we define some vector valued multiple sequence space defined by Orlicz function. We study some of their properties like solidness, symmetry, completeness etc and prove some inclusion results.

Author Biographies

Binod Chandra Tripathy, Institute of Advanced Study in Science and Technology Mathematical Science Division

Mathematical Sciences Division
Rupanjali Goswami, Raha Higher Secondary School Department of Mathematics

Mathematics
Assistant Professor