A Global version of Grozman’s 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.

A Global Version of a Theorem of Ben-David and Magidor

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.

A Colored Version of Tverberg's Theorem

The main result of this paper is that given r red, r white, and r green points in the plane, it is possible to form r vertex-disjoint triangles Aj,...,Ar in such a way that A, has one red, one white, and one green vertex for every / = l , . . . , r and the intersection of these triangles is non-empty.