8 Mathematical Proceedings of the Royal Irish Academy (http://maths.ria.ie) Free, fully downloadable pdf of all published papers Mirrored on EMIS, the European Mathematical Society website (http://www.emis.de/journals/short index.html) Mission Statement • To provide an Irish forum for the publication of good quality research in pure and applied mathematics; • To provide a focal point for the research interests of Irish mathematicians and for international research related to their interests; • To constitute a contribution by the Royal Irish Academy and, more generally, the island of Ireland, to promote and develop mathematics. Submissions Submissions are particularly welcome from those whose work is related to that of Irish mathematicians or to the work of the members of the Editorial Board. All submissions are refereed. E-mail submissions to Submissions@ria.ie Editors Professor Thomas J. Laffey, National University of Ireland, Dublin Professor Gerard J. Murphy, National University of Ireland, Cork Mathematical Proceedings of the Royal Irish Academy 9 Editorial Board Professor David H. Armitage, Queen’s University of Belfast Professor R. M. Aron, Kent State University, USA Professor J. Dias da Silva, University of Lisbon, Portugal Professor Seán Dineen, National University of Ireland, Dublin Professor Michael A. Hayes, National University of Ireland, Dublin Professor Martin L. Newell, National University of Ireland, Galway Professor Anthony G. O’Farrell, National University of Ireland, Maynooth, Co. Kildare Professor J. Zemánek, Academy of Sciences, Warsaw, Poland Published in 2005 Cyclicity and unicellularity of the differentiation operator on Banach spaces of formal power series by B. Yousefi and A. I. Kashkuli Homothetic motions in semi-Euclidean E42 by L. Kula and Y. Yayli On some centre-like subsets of rings by Howard E. Bell and Abraham A. Klein Trivial units in RG by Jürgen Ritter and Sudarshan K. Sehgal Generalisations of Mergelyan’s inequality by Violeta Morari Strong approximate continuity properties of certain conjugate functions by J. B. Twomey Soluble groups with an automorphism inverting many elements by P. V. Hegarty Cotype and nonlinear absolutely summing mappings by D. M. Pellegrino On the symmetrisation of nonholonomic jets by Miroslav Kures̆ Minimal completely decomposable groups by Lutz Strüngmann On ideals of generalised invertible elements in Banach algebras by R. M. Brits, L. Lindeboom and H. Raubenheimer Irreducible representations of Hilbert C *-modules by Ljiljana Arambasic 10 Mathematical Proceedings of the Royal Irish Academy Some spectral properties of the non-self-adjoint Friedrichs model operator by Alexander Kiselev The homology of Heisenberg Lie algebras over fields of characteristic two by Emil Sköldberg On the efficiency of a dual to ratio-cum-product estimator in sample surveys by Housila P. Singh, Rajesh Singh, Mariano Ruiz Espejo, M. Delgado Pineda and Saralees Nadarajah Trace formulae associated with the polar decomposition of operators by M. Chō, T. Huruya and C. Li Forthcoming in 2005 Supercyclic and hypercyclic non-convolution operators on Hilbert–Schmidt entire functions by Henrik Petersson Bloch’s theorem for algebroid multifunctions II by Dominique Guillot and Thomas Ransford Every weakly sequentially hypercyclic shift is norm hypercyclic by Juan Bés, Kit C. Chan, and Rebecca Sanders Harte theorem for Waelbroeck algebras by Antoni Wawrzyńczyk