AZERBAIJAN JOURNAL OF MATHEMATICS, vol.8, no.2, pp.142-151, 2018 (Journal Indexed in ESCI)
The present note is dedicated to description of quantum systems among the quantum spaces. In the normed case we obtain a complete solution to the problem when an operator space turns out to be an operator system. The min and max quantizations of a local order are described in terms of the min and max envelopes of the related state spaces.