Examples in cone metric spaces : a survey middle

Abstract EN

The paper ''Examples in Cone Metric Spaces: A Survey'' had overlooked the fact that p l -spaces are Banach spaces only for p ≥ 1 .

Here, we show that, for 0 p p p 1, p l is not even a normed space .We also pointed out that the domain of the functionφ 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.