Non-weakly supercyclic operators

Several methods based on an easy geometric argument are provided to prove that a given operator is not weakly supercyclic. The methods apply to different kinds of operators like composition operators or bilateral weighted shifts. In particular, it is shown that the classical Volterra operator is not weakly supercyclic on any of the LP [0, 1] spaces, 1

Expressed sequence tag-derived microsatellites for the cool-water marine copepod Calanus finmarchicus

The copepod Calanus finmarchicus is the major contributor to zooplankton biomass in the North Atlantic and Norwegian Sea, but recent studies have shown a 70% decrease in abundance as well as a northward shift in the species' range. Insights into dispersal capabilities gained from population genetic studies will be crucial in predicting the response of C. finmarchicus communities to climate change and, consequently, we have developed a set of expressed sequence tag-derived microsatellite markers to allow fine-scale elucidation of population structuring and dispersal. Ten polymorphic markers displayed between two and 19 alleles, with levels of expected heterozygosity ranging from 0.044 to 0.924.

Development of microsatellites for the invasive riparian plant Impatiens glandulifera (Himalayan balsam) using intersimple sequence repeat cloning

Impatiens glandulifera (Himalayan balsam) is an invasive riparian plant species that can outcompete native perennials. Population genetic data on dispersal may aid in the management of invasive species, so we have developed microsatellite markers for this significant invader using an intersimple sequence repeat (ISSR)-based cloning method. Eight polymorphic markers displayed between two and five alleles, with overall levels of observed and expected heterozygosities ranging from 0.0500 to 0.7500 and from 0.1449 to 0.7692, respectively.

Synthesis of a tetraoxy-bis-nortaxadiene, en route to taxol, using a cascade radical cyclisation sequence

Concise syntheses of the substituted enynediones 28a, 33b and 36 starting from the cyclohexenealdehyde 18, corresponding to ring A in the taxanes, and the vinylstannane 24, are described. Treatment of 36 with Bu3SnH–AIBN did not lead to the oxy-substituted taxadiene 37 expected from a tandem radical macrocyclisation–radical transannulation sequence; instead, a mixture of unidentified products resulted. When the PMB ether 33b corresponding to the alcohol 36 was treated with Bu3SnH–AIBN under similar conditions, p-anisaldehyde was isolated, as a major by-product, but no evidence for the formation of a taxadiene could be observed. In contrast, the iododienynedione 41, i.e., deoxy 36, underwent a tandem radical macrocyclisation–transannulation sequence, when treated with Bu3SnH–AIBN, leading to the tetraoxy-bis-nortaxadiene 42 in 44% yield. Attempts to synthesise the alcohol 28b from the silyl ether 28a en route to the iodide 28c instead gave the substituted tetrahydrofuran 29 via an intramolecular oxy-Michael reaction.