We extend the concept of amenability of a Banach algebra A to the case that there is an extra A -module structure on A, and show that when S is an inverse semigroup with subsemigroup E of idempotents, then A = l(S) as a Banach module over A= l(E) is module amenable iff S is amenable. When S is a discrete group, l(E) = C and this is just the celebrated Johnson’s theorem.

We prove that the almost-entropic region of order four is not semialgebraic, we get as a corollary Matus’ Theorem, which asserts that the almost-entropic regions of order larger than four are not polyhedral. We discuss the algorithmic consequences of our result.

The authors analyzed self-reported SAT scores and actual SAT scores for five different samples of college students (N=650). Students overestimated their actual SAT scores by an average of 25 points (SD=81, d=0.31), with 10% under-reporting, 51% reporting accurately, and 39% over-reporting, indicating a systematic bias towards overreporting. The amount of over-reporting was greater for lower-sco...

We give a new simpler proof of a theorem of Jayne–Rogers.

The old-established growth method of Osborne, Mendel & Ferry (1919) for determining the protein efficiency ratio (PER) of protein sources has recently been suggested both in Canada (Chapman, Castillo & Campbell, 1959) and the USA (Derse, 1960) as a routine method for assessing the nutritive value of proteins. Njaa (1963) in a detailed study of the nitrogen balance sheet method for measurement o...

The Duggan-Schwartz theorem [Duggan and Schwartz, 1992] is a famous result concerning strategy-proof social choice correspondences, often stated as “A social choice correspondence that can be manipulated by neither an optimist nor a pessimist has a weak dictator”. However, this formulation is actually due to Taylor [2002], and the original theorem, at face value, looks rather different. In this...

We compute K-theory invariants of algebras of pseudodifferential operators on manifolds with corners and prove an equivariant index theorem for operators invariant with respect to an action of R. We discuss the relation between our results and the η-invariant.

I briefly review the arguments why the braneworld models with infinitevolume extra dimensions could solve the cosmological constant problem, evading Weinberg’s no-go theorem. Then I discuss in detail the established properties of these models, as well as the features which should be studied further in order to conclude whether these models can truly solve the problem. This article is dedicated ...