COMPACT MATRIX OPERATORS BETWEEN THE SPACES m(ϕ), n(ϕ) AND ℓp
Eberhard Malkowsky, M. Mursaleen · Bulletin of the Korean Mathematical Society · 2011
We give the characterizations of the classes of matrix trans-formations ( $m(\phi),{\ell}_p$ ), ( $n(\phi),{\ell}_p$ ) ([5, Theorem 2]), ( ${\ell}_p,m(\phi)$ ) ([5, Theorem 1]) and ( ${\ell}_p,n(\phi)$ ) for $1{\leq}p{\leq}{\infty}$ , establish estimates for the norms of the bounded linear operators defined by those matrix transformations and characterize the corresponding subclasses of compact matrix operators.