Double sequence spaces over $n$-normed spaces

Kuldip Raj and Sunil K. Sharma

Address: School of Mathematics, Shri Mata Vaishno Devi University, Katra-182320, J & K, India


Abstract: In this paper, we define some classes of double sequences over $n$-normed spaces by means of an Orlicz function. We study some relevant algebraic and topological properties. Further some inclusion relations among the classes are also examined.

AMSclassification: primary 40A05; secondary 40C05, 40D05.

Keywords: paranorm space, Orlicz function, solid, monotone, double sequences, n-normed space.

DOI: 10.5817/AM2014-2-65