in this paper, we state some results on product of operators with closed rangesand we solve the operator equation txs*- sx*t*= a in the general setting of theadjointable operators between hilbert c*-modules, when ts = 1. furthermore, by usingsome block operator matrix techniques, we nd explicit solution of the operator equationtxs*- sx*t*= a.

a General Duty and Regimental Medical Officer, but in Belgium collected an MC (for 'liberating a case of champagne for the Officers' Mess') and also married the sculptress Jacqueline Heyse. On demobilisation he grasped his chance, and for the next ten years worked successively as Registrar and Surgical Tutor in Professorial Units in Bristol, Edinburgh, Baltimore USA, Oxford and Leeds; so by 195...

Given a set Un = {1, ..., n}, a collectionM of subsets of Un that is closed under intersection and contains Un is known as a Moore family. The set of Moore families for a fixed n is in bijection with the set of Moore co-families (union-closed families containing the empty set) denoted itself Mn. This paper follows the work initiated in [8] and [9] about the recursive decomposition of the lattic...