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In this paper we are concerned with applications , mapping into itself a closed convex subset of a normed space , with the property: (, not necessarily constants, , , ). We prove that a fixed point of exists in under the following assumptions: 1) is uniformly convex and in there exists a point with bounded orbit; 2) is a Banach space, is weakly compact, is continuous and . Thereafter, if is strictly convex, we prove that the set of all fixed points of in is closed...
Si dimostra che solo le funzioni reali analitiche operano nell'algebra A(G) se G è un gruppo compatto
Si dimostra che solo le funzioni reali analitiche operano nell'algebra A(G) se G è un gruppo abeliano infinito, oppure un gruppo mediabile discreto con sottogruppi abeliani arbitrariamente grandi, oppure un gruppo di Lie non discreto.
We compute explicitly the number of paths of given length joining two vertices of the Cayley graph of the free product of cyclic groups of order k.
We compute explicitly the number of paths of given length joining two vertices of the Cayley graph of the free product of cyclic groups of order k.
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