Displaying similar documents to “On a multiplicative type sum form functional equation and its role in information theory”

A remark on supra-additive and supra-multiplicative operators on C ( X )

Zafer Ercan (2007)

Mathematica Bohemica

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M. Radulescu proved the following result: Let X be a compact Hausdorff topological space and π C ( X ) C ( X ) a supra-additive and supra-multiplicative operator. Then π is linear and multiplicative. We generalize this result to arbitrary topological spaces.

On a set of asymptotic densities

Pavel Jahoda, Monika Jahodová (2008)

Acta Mathematica Universitatis Ostraviensis

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Let = { p 1 , p 2 , , p i , } be the set of prime numbers (or more generally a set of pairwise co-prime elements). Let us denote A p a , b = { p a n + b m n { 0 } ; m , p does not divide m } , where a , b { 0 } . Then for arbitrary finite set B , B holds d p i B A p i a i , b i = p i B d A p i a i , b i , and d A p i a i , b i = 1 p i b i 1 - 1 p i 1 - 1 p i a i . If we denote A = 1 p b 1 - 1 p 1 - 1 p a p , a , b { 0 } , where is the set of all prime numbers, then for closure of set A holds cl A = A B { 0 , 1 } , where B = 1 p b 1 - 1 p p , b { 0 } .