RING WHOSE MAXIMAL ONE-SIDED IDEALS ARE TWO-SIDED

Two Sided Ideals of Operators

1. Let X be a Banach space, and B(X) the Banach algebra of all bounded linear operators in X. The closed two sided ideals of B(X) (actually, of any Banach algebra) form a complete lattice L(X). Aside from very concrete cases, L(X) has not yet been determined; for instance, when X = l, l ^ p < « > , L(X) is a chain (i.e., totally ordered) with three elements: {o}, B(X) and the ideal C(X) of comp...

One - sided Versus Two - sided Error in

On one-sided versus two-sided classification

One-sided classiiers are computable devices which read the characteristic function of a set and output a sequence of guesses which converges to 1 ii the set on the input belongs to the given class. Such a classiier is two-sided if the sequence of its output in addition converges to 0 on sets not belonging to the class. The present work obtains the below mentioned results for one-sided classes (...

One-sided Logic in Two-sided Markets

In this paper, I consider eight basic fallacies that can arise from using conventional wisdom from one-sided markets in two-sided market settings. These fallacies are illustrated using statements made in the context of regulatory investigations into credit card schemes in Australia and the United Kingdom. I discuss how these fallacies may be reconciled by proper use of a two-sided market analys...

On One-Sided Ideals of Rings of Linear Transformations