In [1] D. Harrington and R. Whitley examined several questions of seminormality for composition operators. In that article they raise the question of finding a measure theoretic characterization of hyponormality for composition operators. In this article we establish criteria for hyponormality for weighted composition operators. By restricting attention to the case of weight function equal to 1...

Pines (Pinus spp.) in Florida are subject to infection by a variety of root-infecting and root disease fungi (Barnard et al 1985; Barnard et al 1991). Among the least known and perhaps most poorly understood of these root-inhabiting fungi are members of the ascomycete genus Ophiostoma, with anamorphs belonging to the more commonly observed formgenus Leptographium. This highly complex and intern...

It has recently been discovered that a certain variant of Ramsey's theorem cannot be proved in first-order Peano arithmetic although it is in fact a true theorem. In this paper we give some bounds for the "Ramsey-Paris-Harrington numbers" associated with this variant of Ramsey's theorem, involving coloring of pairs . In the course of the investigation we also study certain weaker and stronger p...

To explain the cause of axial rotation in a scoliotic vertebral column, the influence of the gravitation force on a spine with a C-scoliosis has been investigated by means of a mechanical model. In this model the gravitation force takes hold of the three-dimensionally curved vertebral column eccentrically. From these reflections it appears that the axial rotation in the scoliotic spine can be e...