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}.

Hamiltonian Tomography in an Access-Limited Setting without State Initialization

We propose a scheme for the determination of the coupling parameters in a chain of interacting spins. This requires only time-resolved measurements over a single particle, simple data postprocessing and no state initialization or prior knowledge of the state of the chain. The protocol fits well into the context of quantum-dynamics characterization and is efficient even when the spin chain is affected by general dissipative and dephasing channels. We illustrate the performance of the scheme by analyzing explicit examples and discuss possible extensions.

Secondary prevention of cardiovascular disease in different primary healthcare systems with and without pay-for-performance

Objective: To compare baseline cardiovascular risk management between people recruited from two different healthcare systems, to a research trial of an intervention to optimize secondary prevention. Design: Cross-sectional study. Setting: General practices, randomly selected: 16 in Northern Ireland (NI) (UK NHS, ‘strong’ infrastructure); 32 in Republic of Ireland (RoI) (mixed healthcare economy, less infrastructure). Patients: 903 (mean age 67.5 years; 69.9% male); randomly selected, known coronary heart disease. Main outcome measures: Blood pressure, cholesterol, medications; validated questionnaires for diet (DINE), exercise (Godin), quality of life (SF12); healthcare usage. Results: More RoI than NI participants had systolic BP>140 mmHg (37% v 28%, p=0.01) and cholesterol >5mmol/l (24% v 17%, p=0.02): RoI mean systolic BP was higher (139 v 132 mm Hg). More RoI participants reported a high fibre intake (35% v 23%), higher levels of physical activity (62% v 44%), and better physical and mental health (SF12); they had more GP (5.6 v 4.4) and fewer nurse visits (1.6 v 2.1) in the previous year. Fewer in RoI (55% v 70%) were prescribed B blockers. Both groups’ ACE inhibitor (41%; 48%) prescribing was similar; high proportions were prescribed statins (84%; 85%) and aspirin (83%; 77%). Conclusions Blood pressure and cholesterol are better controlled among patients in a primary healthcare system with a ‘strong’ infrastructure supporting computerization and rewarding measured performance but this is not associated with healthier lifestyle or better quality of life. Further exploration of differences in professionals’ and patients’ engagement in secondary prevention in different healthcare systems is needed.

Volatile and persistent real exchange rates with or without sticky prices

The flexible-price two-country monetary model is extended to include a consumption externality with habit persistence. Two methodologies are employed to explore this model's ability to generate volatile and persistent exchange rates. In the first, actual data is used for the exogenous driving processes. In the second, the model is simulated using estimated forcing processes. The theory, in both cases, is capable of explaining the high volatility and persistence of real and nominal exchange rates as well as the high correlation between real and nominal rates. © 2007 Elsevier B.V. All rights reserved.