Current research in pervasive computing, as well as in the fields of mobile telecommunications and device manufacture are opening the way for convergence between mobile telecommunications and the traditional Internet towards the Future Internet. The ubiquitous computing paradigm integrates information processing into the objects that surround us in our environment and permits both global control of these objects and global access to the information they can provide. One aspect of this is the notion of smart spaces where the integration of communication and computational devices is being used to create intelligent homes, offices and public areas, which provide intelligent support for the user. The Persist project (PERsonal Self-Improving SmarT spaces) is investigating a novel approach to this convergence through the introduction of the concept of self-improving Personal Smart Spaces.