We classify all factors of the Cartesian product of any two nonsingular type III , 0 < < 1, or II1, Chacon transformations, as well as the centralizer of nite Cartesian products of such transformations. AMS 1991 subject classi cation: 28D99.

Given two Banach function spaces we study the pointwise product space E · F , especially for the case that the pointwise product of their unit balls is again convex. We then give conditions on when the pointwise product E ·M(E,F ) = F , where M(E,F ) denotes the space of multiplication operators from E into F .

We introduce the notation Q(1) ∗ · · · ∗ Q(n) ∗L(Fr) for von Neumann algebra II1–factors where r is allowed to be negative. This notation is defined by rescalings of free products of II1–factors, and is proved to be consistent with known results and natural operations. We also give two statements which we prove are equivalent to isomorphism of free group factors.

We study inequalities connecting a product of uniform norms of polynomials with the norm of their product. Generalizing Gel’fond-Mahler inequality for the unit disk and Kneser-Borwein inequality for the segment [−1, 1], we prove an asymptotically sharp inequality for norms of products of algebraic polynomials over an arbitrary compact set in plane. Applying similar techniques, we produce a rela...

The basic theorem presented shows that the product of a linearly ordered space and a countable (regular) space is normal. We prove that the countable space can be replaced by any of a rather large class of countably tight spaces. Examples are given to prove that monotone normality cannot replace linearly ordered in the base theorem. However, it is shown that the product of a monotonically norma...

Abstract. We study inequalities connecting a product of uniform norms of polynomials with the norm of their product. Generalizing Gel’fond-Mahler inequality for the unit disk and Kneser-Borwein inequality for the segment [−1, 1], we prove an asymptotically sharp inequality for norms of products of algebraic polynomials over an arbitrary compact set in plane. Applying similar techniques, we prod...

Many in vivo trials have evaluated the effects of grape products on different CVD risk factors. Most published studies have dealt with some specific aspects of mechanisms of grape flavonoid action or have focused only on one product, such as wine. The aim of the present paper is to review trials dealing with grape products and CVD published during the last 13 years (seventy-five trials). Polyph...

Prescription decision making is a complicated phenomenon influenced by many factors including drug strength, the patient’s context, prescriber characteristics, health facilities, payment type and pharmaceutical marketing. To evaluate the associations between each influenced factor and drug prescription method of Iranian physicians, we conducted an exploratory research, utilizing a questionnaire...

Prescription decision making is a complicated phenomenon influenced by many factors including drug strength, the patient’s context, prescriber characteristics, health facilities, payment type and pharmaceutical marketing. To evaluate the associations between each influenced factor and drug prescription method of Iranian physicians, we conducted an exploratory research, utilizing a questionnaire...