Hankel and Toeplitz transforms on H 1: continuity, compactness and Fredholm properties

We revisit the boundedness of Hankel and Toeplitz operators acting on the Hardy space H 1 and give a new proof of the old result stating that the Hankel operator H a is bounded if and only if a has bounded logarithmic mean oscillation. We also establish a sufficient and necessary condition for H a to be compact on H 1. The Fredholm properties of Toeplitz operators on H 1 are studied for symbols in a Banach algebra similar to C + H ∞ under mild additional conditions caused by the differences in the boundedness of Toeplitz operators acting on H 1 and H 2.

Continuity and discontinuity: illuminating and interlacing the adventures of Viviane and Merlin in the 'Prose Merlin'

La rareté des miniatures consacrées à l'histoire amoureuse de Merlin et Viviane, dont le développement est à la fois épisodique et structuré par le recours au procédé de l'entrelacement, souligne son caractère marginal au sein de la narration. Les artistes et concepteurs de ces ouvrages manifestent une certaine réticence à l'égard d'aventures qui peuvent affecter l'autorité morale de Merlin, même si elles sont étroitement liées à la disparition du personnage et à la clôture du récit.

Continuity of care for people with psychotic illness: its relationship to clinical and social functioning.

Background: The relationship between continuity of care and user characteristics or outcomes has rarely been explored. The ECHO study operationalized and tested a multi-axial definition of continuity of care, producing a seven-factor model used here. Aims: To assess the relationship between user characteristics and established components of continuity of care, and the impact of continuity on clinical and social functioning. Methods: The sample comprised 180 community mental health team users with psychotic disorders who were interviewed at three annual time-points, to assess their experiences of continuity of care and clinical and social functioning. Scores on seven continuity factors were tested for association with user-level variables. Results: Improvement in quality of life was associated with better Experience & Relationship continuity scores (better user-rated continuity and therapeutic relationship) and with lower Meeting Needs continuity factor scores. Higher Meeting Needs scores were associated with a decrease in symptoms. Conclusion: Continuity is a dynamic process, influenced significantly by care structures and organizational change.

Continuity of care for carers of people with severe mental illness: results of a longitudinal study

Introduction: Continuity of care has been demonstrated to be important for service users and carer groups have voiced major concerns over disruptions of care. We aimed to assess the experienced continuity of care in carers of patients with both psychotic and non-psychotic disorders and explore its association with carer characteristics and psychological well-being. Methods: Friends and relatives caring for two groups of service users in the care of community mental health teams (CMHTs), 69 with psychotic and 38 with non-psychotic disorders, were assessed annually at three and two time points, respectively. CONTINUES, a measure specifically designed to assess continuity of care for carers themselves, was utilized along with assessments of psychological well-being and caregiving. Results: One hundred and seven carers participated. They reported moderately low continuity of care. Only 22 had had a carer’s assessment and just under a third recorded psychological distress on the GHQ. For those caring for people with psychotic disorders, reported continuity was higher if the carer was male, employed, lived with the user and had had a carer’s assessment; for those caring for people with non-psychotic disorders, it was higher if the carer was from the service user’s immediate family, lived with them and had had a carer’s assessment. Conclusion: The vast majority of the carers had not had a carer’s assessment provided by the CMHT despite this being a clear national priority and being an intervention with obvious potential to increase carers’ reported low levels of continuity of care. Improving continuity of contact with carers may have an important part to play in the overall improvement of care in this patient group and deserves greater attention.

Retributivists! The harm principle is not for you!

Retributivism is often explicitly or implicitly assumed to be compatible with the harm principle, since the harm principle (in some guises) concerns the content of the criminal law, whilst retributivism concerns the punishment of those that break the law. In this essay I show that retributivism should not be endorsed alongside any version of the harm principle. For some versions of the harm principle, this is because retributivism is logically incompatible with it, or its grounds. For others, retributivists can only endorse the harm principle at the cost of endorsing implausible positions about the content of the criminal law.

Do real balance effects invalidate the Taylor principle in closed and open economies?

This paper examines the determinacy implications of forecast-based monetary policy rules that set the interest rate in response to expected future inflation in a Neo-Wicksellian model that incorporates real balance effects. We show that the presence of such effects in closed economies restricts the ability of the Taylor principle to prevent indeterminacy of the rational expectations equilibrium. The problem is exacerbated in open economies, particularly if the policy rule reacts to consumer-price, rather than domestic-price, inflation. However, determinacy can be restored in both closed and open economies with the addition of monetary policy inertia.