If H is an HK space which has AD property, then we define the matrix A(H)= (amn) as am=< em,en>H. We prove that A(H) is uniquely determined by H , and hence conclude that there is a one - to - one map between the collection of all HK spaces which have AD, and that of all matrices which are positive definite and Hermitian. Finally, we calculate A(H2|w) where W={dn} is an interpolating sequence.
The paper ''Examples in Cone Metric Spaces: A Survey'' had overlooked the fact that -spaces are Banach spaces only for . Here, we show that, for , is not even a normed space .We also pointed out that the domain of the function of Example (1.17) of the paper ''Examples in Cone Metric Spaces: A Survey'' does not allow the cone metric to be defined, so we made two possible alternatives for that to make sense. Furthermore, we give a few remarks on cone metrics and cone norms which were not fully dealt with in the literature.