International Journal of Mathematics and Mathematical Sciences
Volume 26 (2001), Issue 11, Pages 671-678
doi:10.1155/S0161171201010730

On matrix transformations concerning the Nakano vector-valued sequence space

Abstract

We give the matrix characterizations from Nakano vector-valued sequence space ℓ(X,p) and Fr(X,p) into the sequence spaces Er, ℓ∞, ℓ¯∞(q), bs, and cs, where p=(pk) and q=(qk) are bounded sequences of positive real numbers such that Pk>1 for all k∈ℕ and r≥0.