ON A CLASS OF n-NORMED SEQUENCES RELATED TO $ell_p$-SPACE

Abstract

In this paper we introduce the class of n-normed sequences related to p-absolutely summable sequence space. Some properties of this sequence space like solidness, symmetricity, convergence-free etc. are studied. We obtain some inclusion relations involving this sequence space.

Keywords

• n-norm
• n-Banach space
• solidness
• convergence free
• completeness