David A. Legg

Essentially Hermitian operators on ₁ are compact perturbations of Hermitians

In this paper, we present a solution to one case of a problem of F. F. Bonsall; namely, that every essentially Hermitian operator on /( is a compact perturbation of a Hermitian operator.

Prediction in Orlicz spaces

In this paper, we investigate the prediction (or best approximation) operator from a uniformly convex real Orlicz space to a subset of σ-lattice measurable functions. In particular, a counterexample to the monotoncity property, which holds in Lp spaces, is given. Also, a sufficient condition for monotonicity to hold is given. Finally, nested σ-lattices, as occur in isotonic regression, are considered.