let g be a locally compact group, and let ω be a weight on g. we show that the weightedmeasure algebra m(g,ω) is amenable if and only if g is a discrete, amenable group andsup{ω(g) ω(g−1) : g ∈ g} < ∞, where ω(g) ≥ 1 (g ∈ g) .

OBJECTIVES Using the concept of avoidable mortality, international studies suggest that healthcare has been effective in reducing mortality. This paper provides an analysis of avoidable mortality in Australia and compares trends with those of Western Europe. METHODS Using unit-record mortality data, we calculated avoidable mortality rates in Australia for 1968-2001. We partitioned avoidable c...

OBJECTIVES To describe mortality among adults with intellectual disability in England in comparison with the general population. METHODS We conducted a cohort study from 2009 to 2013 using data from 343 general practices. Adults with intellectual disability (n = 16 666; 656 deaths) were compared with age-, gender-, and practice-matched controls (n = 113 562; 1358 deaths). RESULTS Adults wit...

Health reforms that emphasize public health and improvements in primary care can be cost-effective measures to achieve health improvements, especially in developing countries that face severe resource constraints. In their paper "Shanghai rising: health improvements as measured by avoidable mortality since 2000," Gusmano et al suggest that Shanghai's health policy-makers have been successful in...

let a be a banach algebra and e be a banach a-bimodule then s = a  e, the l1-direct sum of a and e becomes a module extension banach algebra when equipped with the algebras product (a; x):(a′; x′) = (aa′; a:x′ + x:a′). in this paper, we investigate △-amenability for these banach algebras and we show that for discrete inverse semigroup s with the set of idempotents es, the module extension bana...

begin{abstract} in this paper, we introduce an iterative method for amenable semigroup of non expansive mappings and infinite family of non expansive mappings in the frame work of hilbert spaces. we prove the strong convergence of the proposed iterative algorithm to the unique solution of a variational inequality, which is the optimality condition for a minimization problem. the results present...

We will give a brief account of (topological) amenable actions and exactness for countable discrete groups. The class of exact groups contains most of the familiar groups and yet is manageable enough to provide interesting applications in geometric topology, von Neumann algebras and ergodic theory. Mathematics Subject Classification (2000). Primary 46L35; Secondary 20F65, 37A20, 43A07.

In the present paper we construct the first examples of finitely generated non–amenable groups whose left regular representations are not uniformly isolated from the trivial representation.