ϵ-Entropy, ϵ-Rate, and Interpolation Spaces Revisited with an Application to Linear Communication Channels

Some results concerning the ϵ-rate and the ϵ-entropy presented by one of the authors (cf. [Peetre, Ricerche Mat. 17 (1968), pp. 216-220]) are investigated, updated, and generalized in various ways. In addition we give some examples, as well as a discussion, related to the problems presented by Hajela and Honig of this interpolation theory technique in an abstract model of digital communication.