Reproducing kernel resolution space and its applications—II

This paper extends the concept of a reproducing kernel resolution space to a Banach space setting. The resultant reproducing kernel resolution space, however, remains a Hilbert space thereby permitting a number of problems in mathematical system theory to be transformed from Banach space to Hilbert space. Particular emphasis is given to the study of Banach space valued random variables and the scattering operator formalism for an electric network.