Reflexive Cones

Reflexive cones in Banach spaces are cones with weakly compact intersection with the unit ball. In this paper we study the structure of this class of cones. We investigate the relations between the notion of reflexive cones and the properties of their bases. This allows us to prove a characterization of reflexive cones in term of the absence of a subcone isomorphic to the positive cone of \ell_{1}. Moreover, the properties of some specific classes of reflexive cones are investigated. Namely, we consider the reflexive cones such that the intersection with the unit ball is norm compact, those generated by a Schauder basis and the reflexive cones regarded as ordering cones in a Banach spaces. Finally, it is worth to point out that a characterization of reflexive spaces and also of the Schur spaces by the properties of reflexive cones is given.Comment: 23 page

Analisi delle complicanze chirurgiche in 228 pazienti sottoposte ad intervento per carcinoma della cervice uterina (studio collaborativo)

21noneMiglierina M; Buttarelli M; Ghezzi F; Scambia G; Scarabelli C; Persiani P; Fallo L; Rezzonico E; Odicino F; Guarnerio P; Carlini L; Frigerio L; Melpighiano M; Tateo S; Scotto V; Greggi S; Danese S; Ferrero AM; Presti M; Beretta P; Franchi M.Miglierina, M; Buttarelli, M; Ghezzi, Fabio; Scambia, G; Scarabelli, C; Persiani, P; Fallo, L; Rezzonico, E; Odicino, F; Guarnerio, P; Carlini, L; Frigerio, L; Melpighiano, M; Tateo, S; Scotto, V; Greggi, S; Danese, S; Ferrero, Am; Presti, M; Beretta, P; Franchi, Massim

Regular Wine Consumption in Chronic Heart Failure: Impact on Outcomes, Quality of Life, and Circulating Biomarkers

Background-Moderate, regular alcohol consumption is generally associated with a lower risk of cardiovascular events but data in patients with chronic heart failure are scarce. We evaluated the relations between wine consumption, health status, circulating biomarkers, and clinical outcomes in a large Italian population of patients with chronic heart failure enrolled in a multicenter clinical trial. Methods and Results-A brief questionnaire on dietary habits was administered at baseline to 6973 patients enrolled in the Gruppo Italiano per lo Studio della Sopravvivenza nell'Insufficienza Cardiaca-Heart Failure (GISSI-HF) trial. The relations between wine consumption, fatal and nonfatal clinical end points, quality of life, symptoms of depression, and circulating biomarkers of cardiac function and inflammation (in subsets of patients) were evaluated with simple and multivariable-adjusted statistical models. Almost 56% of the patients reported drinking at least 1 glass of wine per day. After adjustment, clinical outcomes were not significantly different in the predefined 4 groups of wine consumption. However, patients with more frequent wine consumption had a significantly better perception of health status (Kansas City Cardiomyopathy Questionnaire score, adjusted P<0.0001), less frequent symptoms of depression (Geriatric Depression Scale, adjusted P=0.01), and lower plasma levels of biomarkers of vascular inflammation (osteoprotegerin and C-terminal proendothelin-1, adjusted P<0.0001, and pentraxin-3, P=0.01) after adjusting for possible confounders. Conclusions-We show for the first time in a large cohort of patients with chronic heart failure that moderate wine consumption is associated with a better perceived and objective health status, lower prevalence of depression, and less vascular inflammation, but does not translate into more favorable clinical 4-year outcomes. Clinical Trial Registration-URL: http://www.clinicaltrials.gov. Unique identifier: NCT0033633