This paper combines new and known results in a single convenient source for anyone interested learning about quasi-linear functionals on locally compact spaces. We define singly generated subalgebras different settings study signed positive functionals. Quasi-linear are, general, nonlinear, but linear subalgebras. The gives representation theorems C c (X), bounded 0 (X) space, C(X) space. There...

Abstract When X is locally compact, a quasi-integral (also called quasi-linear functional) on $$ C_c(X)$$ C c ( X ) homogeneous, positive functional that only assumed to be linear singly-generated...

This paper proves the equilibrium existence for abstract economies with non-compact infinitedimensional strategy spaces, infinitely many agents, and discontinuous payolT (utility) functions by using the quasi-variational inequality approach. The motivations come from economic applications showing that payoff functions are discontinuous in many cases and the set of feasible allocations generally...

We estimate the decay of correlations for some Markov maps on a countable states space. A necessary and suucient condition is given for the transfer operator to be quasi-compact on the space of locally Lipschitz functions. In the non quasi-compact case, the decay of correlations depends on the contribution to the transfer operator of the complementary of nitely many cylinders. Estimates are giv...