In this talk I examine the prospects for a theory of probability aspiring to support a decisiontheoretic interpretation by which principles of probability derive their normative status in virtue of their relationship with principles of rational decision making. More specifically, I investigate the possibility of a theory of expected utility abiding by distinguished dominance principles which ha...

In this paper we are concerned with the spectral analysis for classes of finte rank perturbations diagonal operators in form A = D+F where D is a operator and F u’1 ⊗v’1+...+u’m ⊗vm an finite non-archimedean Banach space countable type. We compute spectrum using theory Fredholm non archimedean setting concept essential linear operators.

A set is called a unique range set for a certain class of functions if each inverse image of that set uniquely determines a function from the given class. We show that a finite set is a unique range set, counting multiplicity, for non-Archimedean entire functions if and only if there is no non-trivial affine transformation preserving the set. Our proof uses a theorem of Berkovich to extend, to ...