On a matrix version of Cochran's statistical theorem

A More General Version of the Costa Theorem

In accordance with the Costa theorem, the interference which is independent of the channel input and known non-causally at the transmitter, does not affect the capacity of the Gaussian channel. In some applications, the known interference depends on the input and hence has some information. In this paper, we study the channel with input dependent interference and prove a capacity theorem that n...

A FUZZY VERSION OF HAHN-BANACH EXTENSION THEOREM

In this paper, a fuzzy version of the analytic form of Hahn-Banachextension theorem is given. As application, the Hahn-Banach theorem for$r$-fuzzy bounded linear functionals on $r$-fuzzy normedlinear spaces is obtained.

On a Dynamical Version of a Theorem of Rosenlicht

Consider the action of an algebraic group G on an irreducible algebraic variety X all defined over a field k. M. Rosenlicht showed that orbits in general position in X can be separated by rational invariants. We prove a dynamical analogue of this theorem, where G is replaced by a semigroup of dominant rational maps X 99K X. Our semigroup G is not required to have the structure of an algebraic v...

a fuzzy version of hahn-banach extension theorem

in this paper, a fuzzy version of the analytic form of hahn-banachextension theorem is given. as application, the hahn-banach theorem for$r$-fuzzy bounded linear functionals on $r$-fuzzy normedlinear spaces is obtained.

The Kreiss Matrix Theorem on a