On matrix transformations concerning the Nakano vector-valued sequence space
Suthep Suantai1
Received15 Aug 2000
Revised20 Oct 2000
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.