Further properties of Azimi-Hagler banach spaces

For the Azimi-Hagler spaces more geometric and topological properties are investigated. Any constructed space is denoted by X _α,p . We show

(i)	The subspace (e nk )] generated by a subsequence (e nk ) of (e n ) is complemented.
(ii)	The identity operator from X α,p to X α,p when p > q is unbounded.
(iii)	Every bounded linear operator on some subspace of X α,p is compact. It is known that if any X α,p is a dual space, then
(iv)	duals of X α,1 spaces contain isometric copies of ℓ ∞ and their preduals contain asymptotically isometric copies of c 0.
(v)	We investigate the properties of the operators from X α,p spaces to their predual.