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.

A 'Teague' and a 'True Briton': Charles Johnstone, Ireland, and Empire

Charles Johnstone's literary output - which included Chrysal: or, the Adventures of a Guinea (1760) and a series of novels between 1762 and 1781 prior to his departure for Calcutta in 1782 - features a marked geographical and historical preoccupation with empire. The trajectory of Johnstone's life from Carrigogunnell and Dublin in Ireland, to London, and finally to Calcutta, indicates the remarkable possibilities for self-transformation which empire from Ireland to India offered during the eighteenth century. This paper examines the significance of empire in Johnstone's oeuvre, and identifies for the first time a series of articles written by him in The Calcutta Gazette in 1785.