Some Strongly Summable Double Sequence Spaces over n-normed Spaces
Kuldip Raj *
School of Mathematics, Shri Mata Vaishno Devi University, Katra-182320, J&K, India.
Ajay K. Sharma
School of Mathematics, Shri Mata Vaishno Devi University, Katra-182320, J&K, India.
Sunil K. Sharma
School of Mathematics, Shri Mata Vaishno Devi University, Katra-182320, J&K, India.
Sulinder Singh
School of Mathematics, Shri Mata Vaishno Devi University, Katra-182320, J&K, India.
*Author to whom correspondence should be addressed.
Abstract
In this paper we introduce some strongly summable double sequence spaces defined by a sequence of Orlicz functions over n-normed spaces. We also study some topological properties and inclusion relation between these spaces.
Keywords: Paranorm space, Orlicz function, solid, strongly summable sequences, double sequences, n-normed space.