Unbounded derivations and *-automorphisms groups of Banach quasi *-algebras

This paper is devoted to the study of unbounded derivations on Banach quasi *-algebras with a particular emphasis to the case when they are infinitesimal generators of one parameter automorphisms groups. Both of them, derivations and automorphisms are considered in a weak sense; i.e., with the use of a certain families of bounded sesquilinear forms. Conditions for a weak *-derivation to be the generator of a *-automorphisms group are given.

Fixed point and homotopy results for mixed multi-valued mappings in 0-complete partial metric spaces*

We give sufficient conditions for the existence of common fixed points for a pair of mixed multi-valued mappings in the setting of 0-complete partial metric spaces. An example is given to demonstrate the usefulness of our results over the existing results in metric spaces. Finally, we prove a homotopy theorem via fixed point results.

WHATSAPP MESSENGER AS A REAL-TIME TOOL FOR A LONG-DISTANCE ACTIVITY OF A MULTIDISCIPLINARY

Italian cancer figures, report 2013: Multiple tumours

This collaborative study, based on data collected by the network of Italian association of cancer registries (AIRTUM), provides updated estimates on the incidence risk of multiple primary cancer (MP). The objective is to highlight and quantify the bidirectional associations between different oncological diseases. The quantification of the excess or decreased risk of further cancers in cancer patients, in comparison with the general population, may contribute to understand the aetiology of cancer and to address clinical follow-up.Data herein presented were provided by AIRTUM population-based cancer registries, which cover nowadays 48% of the Italian population. This monograph utilizes the AI…

Representable and Continuous Functionals on Banach Quasi *-Algebras

In the study of locally convex quasi *-algebras an important role is played by representable linear functionals; i.e., functionals which allow a GNS-construction. This paper is mainly devoted to the study of the continuity of representable functionals in Banach and Hilbert quasi *-algebras. Some other concepts related to representable functionals (full-representability, *-semisimplicity, etc) are revisited in these special cases. In particular, in the case of Hilbert quasi *-algebras, which are shown to be fully representable, the existence of a 1-1 correspondence between positive, bounded elements (defined in an appropriate way) and continuous representable functionals is proved.