Multipliers of multidimensional Fourier algebras

Let $G$ be a locally compact $\sigma$-compact group. Motivated by an earlier notion for discrete groups due to Effros and Ruan, we introduce the multidimensional Fourier algebra $A^n(G)$ of $G$. We characterise the completely bounded multidimensional multipliers associated with $A^n(G)$ in several equivalent ways. In particular, we establish a completely isometric embedding of the space of all $n$-dimensional completely bounded multipliers into the space of all Schur multipliers on $G^{n+1}$ with respect to the (left) Haar measure. We show that in the case $G$ is amenable the space of completely bounded multidimensional multipliers coincides with the multidimensional Fourier-Stieltjes algebra of $G$ introduced by Ylinen. We extend some well-known results for abelian groups to the multidimensional setting.

Is Human Development Multidimensional?

Stiglitz's Commission on the Measurement of Economic Performance and Social Progress (CMEPSP) argued that well-being is multidimensional and identified eight distinct dimensions. Conventional linear techniques confirm that a large number of dimensions are needed to describe development. In contrast, a new non-linear technique that we introduce from chaos theory shows that a smaller number of dimensions are needed to span the development space. From the analysis, variables representing the Health, Education, Inequality and Individual Rights areas of life quality would provide a broad picture of development, whereas income per capita adds little extra information.

A 'ruin of all space, shattered glass and toppling masonry': Joyce's Orientalism in the Context of 11 September 2001 and 1922

Chapters 3 and 15 of Joyce's Ulysses exhibit glimpses of three dreams, fantasies and eventual nightmares linked to the figure of 'Haroun al Raschid.' Historically speaking, the latter was a powerful Caliph of Baghdad, a medieval potentate about whom many of the most memorable of The Thousand and One Nights or The Arabian Nights' Entertainments were once and then again spun as tales of pleasure. Joyce seizes upon the figure of 'Haroun al Raschid' as a fictive measure to articulate the 'orientalist' fantasies of Stephen Dedalus and Leopold Bloom. However, this evocative figure of Near Eastern history, of fabulous narrative and the progressively converging fantasies of two modern European literary characters is riddled with paradox. Such material provides Joyce a perceptive and proleptic sense of the paradoxes and brutal historical contradictions through which Western and Eastern dreams of theocratic nationalism, ethnic zealotry, colonial rebellion and Zionism are to be played out. W. B. Yeats' poem 'The Gift of Harun al-Raschid', written in 1923, the year after the book publication of Ulysses, provides both a fitting foil and a significant socio-historical point of reference for Joyce's own figurative use of the Caliph of Baghdad.

Performing Space

This article discusses how the notion of performance provides impetus for the design of interactive digital environments. These environments can ultimately be regarded as user-spaces; a condition which replaces the "fixed" art-object with a configuration of interactions. Our understanding of space, as suggested by Lefevbre (2001), defines the "inhabitant" as a full participant, a user, a performer of space. What is at play when the installation artist designs environments that invite performative exploration? The issue of improvised performance in the inhabiting of installation spaces is exposed. Two interactive installations by the author and works by others in the field provide a context for discussion for discussion and analysis.