structure and operators in a class of weighted sequence spaces

Hagler and azimi introduced a class of hereditarily l1 banach spaces which fail the schur property. then azimi extended these spaces to a class of hereditarily lp banach spaces for 1 ≤ p < 1. here a further geometric and topological investigation of the spaces is carried out. moreover we observe that the subspace [(enk)]generated by subsequence (enk) of (en) is complemented and the identity operator from xα;p to xα;q when p > q is unbounded.