Zero-Error Capacity of Memoryless Channels with Weak Input Signals

The paper is a continuation of the study of the asymptotic behavior of the zero-error capacity of channels with weak input signals that was begun in [L. A. Bassalygo and V. V. Prelov, Probl. Peredachi Inf., 1981, vol. 17, no. 1, pp. 5–16]. Channels are considered for which the input signals assume values from an arbitrary finite-dimensional linear normed space, while the constraint on the input is specified by means of an arbitrary nonnegative function $\varphi(\cdot)$. The case in which the basic conditions of the theorems of the paper cited are not met is also considered.