Hankel operators on Fock spaces

We study Hankel operators on the weighted Fock spaces Fp. The boundedness and compactness of these operators are characterized in terms of BMO and VMO, respectively. Along the way, we also study Berezin transform and harmonic conjugates on the plane. Our results are analogous to Zhu's characterization of bounded and compact Hankel operators on Bergman spaces of the unit disk.

Universally reversible JC*-triples and operator spaces

Abstract. We prove that the vast majority of JC∗-triples satisfy the condition of universal reversibility. Our characterisation is that a JC∗-triple is universally reversible if and only if it has no triple homomorphisms onto Hilbert spaces of dimension greater than two nor onto spin factors of dimension greater than four. We establish corresponding characterisations in the cases of JW∗-triples and of TROs (regarded as JC∗-triples). We show that the distinct natural operator space structures on a universally reversible JC∗-triple E are in bijective correspondence with a distinguished class of ideals in its universal TRO, identify the Shilov boundaries of these operator spaces and prove that E has a unique natural operator space structure precisely when E contains no ideal isometric to a nonabelian TRO. We deduce some decomposition and completely contractive properties of triple homomorphisms on TROs.

A conceptual framework for aligning business and information systems from organisational learning perspective

The three decades of on-going executives’ concerns of how to achieve successful alignment between business and information technology shows the complexity of such a vital process. Most of the challenges of alignment are related to knowledge and organisational change and several researchers have introduced a number of mechanisms to address some of these challenges. However, these mechanisms pay less attention to multi-level effects, which results in a limited un-derstanding of alignment across levels. Therefore, we reviewed these challenges from a multi-level learning perspective and found that business and IT alignment is related to the balance of exploitation and exploration strategies with the intellec-tual content of individual, group and organisational levels.

Rigid body trajectories in different 6D spaces

The objective of this paper is to show that the group SE(3) with an imposed Lie-Poisson structure can be used to determine the trajectory in a spatial frame of a rigid body in Euclidean space. Identical results for the trajectory are obtained in spherical and hyperbolic space by scaling the linear displacements appropriately since the influence of the moments of inertia on the trajectories tends to zero as the scaling factor increases. The semidirect product of the linear and rotational motions gives the trajectory from a body frame perspective. It is shown that this cannot be used to determine the trajectory in the spatial frame. The body frame trajectory is thus independent of the velocity coupling. In addition, it is shown that the analysis can be greatly simplified by aligning the axes of the spatial frame with the axis of symmetry which is unchanging for a natural system with no forces and rotation about an axis of symmetry.

A conceptual valuation framework (VF) for home telecare system devices

Purpose – The aim of this paper is to present a conceptual valuation framework to allow telecare service stakeholders to assess telecare devices in the home in terms of their social, psychological and practical effects. The framework enables telecare service operators to more effectively engage with the social and psychological issues resulting from telecare technology deployment in the home and to design and develop appropriate responses as a result. Design/methodology/approach – The paper provides a contextual background for the need for sociologically pitched tools that engage with the social and cultural feelings of telecare service users before presenting the valuation framework and how it could be used. Findings – A conceptual valuation framework is presented for potential development/use. Research limitations/implications – The valuation framework has yet to be extensively tested or verified. Practical implications – The valuation framework needs to be tested and deployed by a telecare service operator but the core messages of the paper are valid and interesting for readership. Social implications – In addressing the social and cultural perspectives of telecare service stakeholders, the paper makes a link between the technologies in the home, the feelings and orientations of service users (e.g. residents, emergency services, wardens, etc.) and the telecare service operator. Originality/value – The paper is an original contribution to the field as it details how the sociological orientations of telecare technology service users should be valued and addressed by service operators. It has a value through the conceptual arguments made and through valuation framework presented.

Solvability and spectral properties of integral equations on the real line: I. Weighted spaces of continuous functions

We consider in this paper the solvability of linear integral equations on the real line, in operator form (λ−K)φ=ψ, where and K is an integral operator. We impose conditions on the kernel, k, of K which ensure that K is bounded as an operator on . Let Xa denote the weighted space as |s|→∞}. Our first result is that if, additionally, |k(s,t)|⩽κ(s−t), with and κ(s)=O(|s|−b) as |s|→∞, for some b>1, then the spectrum of K is the same on Xa as on X, for 01. As an example where kernels of this latter form occur we discuss a boundary integral equation formulation of an impedance boundary value problem for the Helmholtz equation in a half-plane.

Fractal spaces in planning and governance

This paper discusses concepts of space within the planning literature, the issues they give rise to and the gaps they reveal. It then introduces the notion of 'fractals' borrowed from complexity theory and illustrates how it unconsciously appears in planning practice. It then moves on to abstract the core dynamics through which fractals can be consciously applied and illustrates their working through a reinterpretation of the People's Planning Campaign of Kerala, India. Finally it highlights the key contribution of the fractal concept and the advantages that this conceptualisation brings to planning.

Sparse polynomial approximation in positive order Sobolev spaces with bounded mixed derivatives and applications to elliptic problems with random loading

In the present paper we study the approximation of functions with bounded mixed derivatives by sparse tensor product polynomials in positive order tensor product Sobolev spaces. We introduce a new sparse polynomial approximation operator which exhibits optimal convergence properties in L2 and tensorized View the MathML source simultaneously on a standard k-dimensional cube. In the special case k=2 the suggested approximation operator is also optimal in L2 and tensorized H1 (without essential boundary conditions). This allows to construct an optimal sparse p-version FEM with sparse piecewise continuous polynomial splines, reducing the number of unknowns from O(p2), needed for the full tensor product computation, to View the MathML source, required for the suggested sparse technique, preserving the same optimal convergence rate in terms of p. We apply this result to an elliptic differential equation and an elliptic integral equation with random loading and compute the covariances of the solutions with View the MathML source unknowns. Several numerical examples support the theoretical estimates.

‘Getting known’: Beckett, Ireland and the creative industries

In the context of national and global trends of producing Beckett’s work, this essay will investigate recent productions of Beckett’s drama which originate in Ireland and tour internationally, examining how these relate to the concept of national identity and its marketability, as well the conceptual and material spaces provided by large-scale festival events. In the last few months, Pan Pan has toured its production of All that Fall from Dublin to the Beckett festival in Enniskillen to New York’s BAM. The Gate Theatre, always a powerhouse of Beckett productions, continues its revival of Barry McGovern’s adaptation of Watt; after the Edinburgh festival, the show will play London’s Barbican in March 2013. While originating in Ireland, these productions – those of the Gate in particular – have an international, as well as domestic, appeal. Examining these and forthcoming Gate productions, I query to what extent a theatre company’s cultural origins and international profile may create a perceived sense of authenticity or definitiveness among critical discourses at ‘home’ and abroad, and how such markers of identity are utilized by the marketing strategies which surround these productions. This article will interrogate the potential convergence of the globalized branding of both Beckett’s work and Irish identity, drawing on the writings of Bourdieu to elucidate how identity may be converted into economic and cultural capital, as well as examining the role that the festival event plays in this process.

A conceptual framework of patient satisfaction with a pharmacy adherence service

Background Patients do not adhere to their medicines for a host of reasons which can include their underlying beliefs as well as the quality of their interactions with healthcare professionals. One way of measuring the outcome of pharmacy adherence services is to assess patient satisfaction but no questionnaire exists that truly captures patients' experiences with these relatively new services. Objective Our objective was to develop a conceptual framework specific to patient satisfaction with a community pharmacy adherence service based on criteria used by patients themselves. Setting The study was based in community pharmacies in one large geographical area of the UK (Surrey). All the work was conducted between October 2008 and September 2010. Methods This study involved qualitative non-participant observation and semi-structured interviewing. We observed the recruitment of patients to the Medicines Use Review (MUR) service and also actual MUR consultations (7). We also interviewed patients (15). Data collection continued until no new themes were identified during analysis. We analysed interviews to firstly create a comprehensive account of themes which had significance within the transcripts, then created sub-themes within super-ordinate categories. We used a structure-process-outcome approach to develop a conceptual framework relating to patient satisfaction with the MUR. Favourable ethical opinion for this study was received from the NHS Surrey Research Ethics Committee on 2nd June 2008. Results Five super-ordinate themes linked to patient satisfaction with the MUR service were identified, including relationships with healthcare providers; attitudes towards healthcare providers; patients' experience of health, healthcare and medicines; patients' views of the MUR service; the logistics of the MUR service. In the conceptual framework, structure was conceptualised as existing relationships, environment, and time; process was conceptualised as related to recruitment and consultation stages; and outcome as two concepts of immediate patient outcomes and satisfaction on reflection. Conclusion We identified and highlighted factors that can influence patient satisfaction with the MUR service and this led to the development of a conceptual framework of patient satisfaction with the MUR service. This can form the basis for developing a questionnaire for measuring patient satisfaction with this and similar pharmacy adherence services. Impact of findings on practice * Pharmacists and researchers can access the relevant ideas presented here in relation to patient satisfaction with pharmacy adherence services. * Researcher can use the conceptual framework as a basis for measuring the quality of pharmacy adherence services. * Community pharmacists can improve the quality of healthcare they provide by realizing concepts relevant to patient satisfaction with adherence services.