Compact operators without extended eigenvalues

A complex number lambda is called an extended eigenvalue of a bounded linear operator T on a Banach space B if there exists a non-zero bounded linear operator X acting on B such that XT = lambda TX. We show that there are compact quasinilpotent operators on a separable Hilbert space, for which the set of extended eigenvalues is the one-point set {1}.

Stabilization of Ti-molecular sieve catalysts used in selective sulfoxidation reactions by ionic liquids

Sulfoxidation reactions of 4,6-dimethyl-2-methylthiopyrimidine have been performed using titanosilicate catalysts in ionic liquids, dioxane and ethanol. The ionic liquid reactions showed superior reactivity compared with molecular solvents. Moreover, on examination of the recycling of the catalyst, a significant increase in the stability of catalyst was found both in terms of recycling activity and leaching of the titanium from the catalyst. The mechanism by which the ionic liquid reduces the solubilisation of the catalysts is explored.

ARTICLE: On the Curious Disappearance of Human Servitude from General International Law

The following study considers the fragmentation of law which occurred in 1956 with regard to the law on servitude. As States were unwilling to go as far as the Universal Declaration on Human in establishing that "no one shall be held in [...] servitude", the negotiators of the 1956 Supplementary Conventions moved to expunge the very term 'servitude' from the text and to replace it with the phrase 'institutions and practices similar to slavery' which could then be abolished 'progressively and as soon as possible'. The negotiation history of the 1956 Convention clear demonstrate that the Universal Declaration on Human was the elephant in the room and that it ultimately lead to a fragmentation of the law as between general international law manifest in the 1956 Supplementary Convention on the one hand and international human rights law on the other. It is for this reason that, for instance the 2001 UN and 2005 Council of Europe trafficking conventions mention both 'practices similar to slavery' and 'servitude' as types of human exploitation to be suppressed in their definition of 'trafficking in persons'.

The impact of dose escalation and resistance modulation in older patients with acute myeloid leukaemia and high risk myelodysplastic syndrome: the results of the LRF AML14 trial.:the results of the LRF AML14 trial

The acute myeloid leukaemia (AML)14 trial addressed four therapeutic questions in patients predominantly aged over 60 years with AML and High Risk Myelodysplastic Syndrome: (i) Daunorubicin 50 mg/m(2) vs. 35 mg/m(2); (ii) Cytarabine 200 mg/m(2) vs. 400 mg/m(2) in two courses of DA induction; (iii) for part of the trial, patients allocated Daunorubicin 35 mg/m(2) were also randomized to receive, or not, the multidrug resistance modulator PSC-833 in a 1:1:1 randomization; and (iv) a total of three versus four courses of treatment. A total of 1273 patients were recruited. The response rate was 62% (complete remission 54%, complete remission without platelet/neutrophil recovery 8%); 5-year survival was 12%. No benefits were observed in either dose escalation randomization, or from a fourth course of treatment. There was a trend for inferior response in the PSC-833 arm due to deaths in induction. Multivariable analysis identified cytogenetics, presenting white blood count, age and secondary disease as the main predictors of outcome. Although patients with high Pgp expression and function had worse response and survival, this was not an independent prognostic factor, and was not modified by PSC-833. In conclusion, these four interventions have not improved outcomes in older patients. New agents need to be explored and novel trial designs are required to maximise prospects of achieving timely progress.

Optimization of Cement Grouts Containing Silica Fume and Viscosity Modifying Admixture

There is an increasing need to identify the effect of mix composition on the rheological properties of cementitious grouts using minislump, Marsh cone, cohesion plate, washout test, and cubes to determine the fluidity, the cohesion, and other mechanical properties of grouting applications. Mixture proportioning involves the tailoring of several parameters to achieve adequate fluidity, cohesion, washout resistance and compressive strength. This paper proposes a statistical design approach using a composite fractional factorial design which was carried out to model the influence of key parameters on the performance of cement grouts. The responses relate to performance included minislump, flow time using Marsh cone, cohesion measured by Lombardi plate meter, washout mass loss and compressive strength at 3, 7, and 28 days. The statistical models are valid for mixtures with water-to-binder ratio of 0.37–0.53, 0.4–1.8% addition of high-range water reducer (HRWR) by mass of binder, 4–12% additive of silica fume as replacement of cement by mass, and 0.02–0.8% addition of viscosity modifying admixture (VMA) by mass of binder. The models enable the identification of underlying factors and interactions that influence the modeled responses of cement grout. The comparison between the predicted and measured responses indicated good accuracy of the established models to describe the effect of the independent variables on the fluidity, cohesion, washout resistance and the compressive strength. This paper demonstrates the usefulness of the models to better understand trade-offs between parameters. The multiparametric optimization is used to establish isoresponses for a desirability function for cement grout. An increase of HRWR led to an increase of fluidity and washout, a reduction in plate cohesion value, and a reduction in the Marsh cone time. An increase of VMA demonstrated a reduction of fluidity and the washout mass loss, and an increase of Marsh cone time and plate cohesion. Results indicate that the use of silica fume increased the cohesion plate and Marsh cone, and reduced the minislump. Additionally, the silica fume improved the compressive strength and the washout resistance.

Cardiac rehabilitation uptake following myocardial infarction: cross-sectional study in primary care

Background Policies suggest that primary care should be more involved in delivering cardiac rehabilitation. However, there is a lack of information about what is known in primary care regarding patients' invitation or attendance. Aim To determine, within primary care, how many patients are invited to and attend rehabilitation after myocardial infarction (MI), examine sociodemographic factors related to invitation, and compare quality of life between those who do and do not attend. Design of study Review of primary care paper and computer records; cross-sectional questionnaire. Setting Northern Ireland general practices (38); stratified sample, based on practice size and health board area. Method Patients, identified from primary care records, 12-16?weeks after a confirmed diagnosis of MI, were posted questionnaires, including a validated MacNew post-MI quality-of-life questionnaire. Practices returned anonymised data for non-responders. Results Information about rehabilitation was available for 332 of the 432 patients identified (76.9%): 162 (37.5%) returned questionnaires. Of the total sample, 54.4% (235/432) were invited and 37.0% (160/432) attended; of those invited, 68.1% (160/235) attended. Invited patients were younger than those not invited (mean age 63?years [standard deviation SD 16] versus 68.5?years [SD 16]); mean difference 5.5?years (95% confidence interval [CI] = 1.7 to 9.3). Among questionnaire responders, those who attended were younger and reported better emotional, physical, and social functioning than non-attenders (P = 0.01; mean differences 0.44 (95% CI = 0.11 to 0.77), 0.48 (95% CI = 0.10 to 0.85) and 0.54 (95% CI = 0.15 to 0.94) respectively). Conclusion Innovative strategies are needed to improve cardiac rehabilitation uptake, integration of hospital and primary care services, and healthcare professionals' awareness of patients' potential for health gain after MI.

Nationalism, Ethnicity and Self-Determination: A Paradigm Shift?

An ongoing paradigm shift is giving birth to a more multidimensional understanding of the relationship between nationalism, sovereignty, self determination and democratic governance. A common element across the various versions of the new paradigm is the dispersal of democratic governance across multiple and overlapping jurisdictions. Governmental processes are no longer seen as discrete, centralised and homogenous as in the old nation-state model, but as asymmetrical, multilayered and multicultural, with devolution into multiple jurisdictions. These changes have hardly affected the two main conceptual frameworks that dominate the study of nationalism, Modernism and Ethnosymbolism. As a result, they risk becoming irrelevant to the new forms of national self determination, asymmetrical governance and shared sovereignty. Modernism and Ethnosymbolism insist that nationalism seeks to equate the nation with a sovereign state, while in reality the overwhelming majority of nations are stateless and unable to build nation states, as they often inhabit territories shared with other nations. The paradigm shift occurs precisely with the realisation that nation state sovereignty is no longer a feasible solution to the demands of stateless nations. Ethnosymbolism is in a much better position to adapt to the paradigm shift provided it abandons the claim that the nation state is the best shell for the nation.