Smooth norms and approximation in Banach spaces of the type C(K)

We prove two theorems about differentiable functions on the Banach space C(K), where K is compact. (i) If C(K) admits a non-trivial function of class C^m and of bounded support, then all continuous real-valued functions on C(K) may be uniformly approximated by functions of class C^m. (ii) If C(K) admits an equivalent norm with locally uniformly convex dual norm, then C(K) admits an equivalent norm which is of class C^infty (except at 0)

Operator machines on directed graphs

We show that if an infinite-dimensional Banach space X has a symmetric basis then there exists a bounded, linear operator R : X --> X such that the set A = {x in X : ||R^n(x)|| --> infinity} is non-empty and nowhere dense in X. Moreover, if x in X\A then some subsequence of (R^n(x)) converges weakly to x. This answers in the negative a recent conjecture of Prajitura. The result can be extended to any Banach space containing an infinite-dimensional, complemented subspace with a symmetric basis; in particular, all 'classical' Banach spaces admit such an operator

Working Toward Social Justice: Center for Research on Minority Health Summer Workshop on Health Disparities

Health disparities research encompasses a complex web of areas of cross-disciplinary expertise from fields such as health policy, public health, economics, sociology, psychology, anthropology, communications, genetics, biology, environmental science, ethics, and law. Dissemination of health disparities research is paramount to educating and training professionals, academics, community leaders, students and others about the subject area, and providing them with the necessary tools to affect change and eliminate health disparities. This paper chronicles the development of a unique health disparities and social justice research educational program held annually by The University of Texas M. D. Anderson Cancer Center, Center for Research on Minority Health. The program is composed of a college semester course and summer workshop, which in the past five years, has become a preeminent program in the United States. The program's impetus, premise, evaluation, and future directions are discussed

Topological Spaces as Pseudo-Distance Spaces

    In this paper we provide a generalized definition of distance and show that, with this definition, any topological space can be generated by (distance derived) neighborhoods in exactly the same manner as metric topologies. &nbsp

Epuraea imperialis (Reitter, 1877). New invasive species of Nitidulidae (Coleoptera) in Europe, with a checklist of sap beetles introduced to Europe and Mediterranean areas

Australian species Epuraea imperialis (Reitter, 1877), previously introduced to New Zealand, is recorded as a new invasive species from the Canary Islands, Continental Spain, Portugal, France, Belgium, and Italy. It is redescribed and figured, and its taxonomic position in the genus Epuraea Erichson, 1843 is discussed. A tentative checklist of sap beetles introduced to Europe and the Mediterranean areas is finally included

Antibiotic treatment patterns across Europe in patients with complicated skin and soft-tissue infections due to meticillin-resistant <em>Staphylococcus aureus</em>:a plea for implementation of early switch and early discharge criteria

AbstractThis retrospective observational medical chart review aimed to describe country-specific variations across Europe in real-world meticillin-resistant Staphylococcus aureus (MRSA) complicated skin and soft-tissue infection (cSSTI) treatment patterns, antibiotic stewardship activity, and potential opportunities for early switch (ES) from intravenous (i.v.) to oral formulations and early discharge (ED) from hospital using standardised data collection and criteria and economic implications of these opportunities. Patients were randomly sampled from 12 countries (Austria, Czech Republic, France, Germany, Greece, Ireland, Italy, Poland, Portugal, Slovakia, Spain and the UK), aged ≥18 years, with documented MRSA cSSTI, hospitalised between 1 July 2010 and 30 June 2011, discharged alive by 31 July 2011. Of 1502 patients, 1468 received MRSA-targeted therapy. Intravenous-to-oral switch rates ranged from 2.0% to 20.2%, i.v. length of therapy from 10.1 to 18.6 days and hospital length of stay (LoS) from 15.2 to 25.0 days across Europe. Of 341 sites, 82.9% had antibiotic steering committees, 23.7% had i.v.-to-oral switch antibiotic protocols and 12.9% had ED protocols for MRSA cSSTI. ES and ED eligibility ranged from 12.0% (Slovakia) to 56.3% (Greece) and from 10% (Slovakia) to 48.2% (Portugal), respectively. Potential cost savings per ED-eligible patient ranged from €414 (Slovakia) to €2703 (France). MRSA cSSTI treatment patterns varied widely across countries, but further reductions in i.v. therapy, hospital LoS and associated costs could be realised. These data provide insight into clinical practice patterns across diverse European healthcare systems and identify potential opportunities for local clinicians and policy-makers to improve clinical care and cost-effectiveness of this therapeutic area

Reported patterns of vaping to support long-term abstinence from smoking: a cross-sectional survey of a convenience sample of vapers

Background: E-cigarettes are the most popular aid to smoking cessation attempts in England and the USA. This research examined associations between e-cigarette device characteristics and patterns of use, tobacco-smoking relapse, and smoking abstinence. Methods: A convenience sample of 371 participants with experience of vaping, and tobacco-smoking abstinence and/or relapse completed an online cross-sectional survey about e-cigarettes. Factors associated with smoking relapse were examined using multiple linear and logistic regression models. Results: Most participants were self-reported long-term abstinent smokers (86.3%) intending to continue vaping. Most initiated e-cigarette use with a vape pen (45.8%) or cig-a-like (38.7%) before moving onto a tank device (89%). Due to missing data, managed through pairwise deletion, only around 70 participants were included in some of the main analyses. Those using a tank or vape pen appeared less likely to relapse than those using a cig-a-like (tank vs. cig-a-like OR = 0.06, 95% CI 0.01-0.64, p = 0.019). There was an inverse association between starting self-reported e-cigarette liquid nicotine concentration and relapse, interacting with device type (OR = 0.79, 95% CI 0.63-0.99, p = 0.047), suggesting that risk of relapse may have been greater if starting with a low e-cigarette liquid nicotine concentration and/or cig-a-like device. Participants reported moving from tobacco-flavored cig-a-likes to fruit/sweet/food flavors with tank devices. Conclusions: Knowledge of how people have successfully maintained tobacco-smoking abstinence using vaping could help other tobacco smokers wishing to quit tobacco smoking through vaping

A randomised controlled trial linking mental health inpatients to community smoking cessation supports: A study protocol

<p>Abstract</p> <p>Background</p> <p>Mental health inpatients smoke at higher rates than the general population and are disproportionately affected by tobacco dependence. Despite the advent of smoke free policies within mental health hospitals, limited systems are in place to support a cessation attempt post hospitalisation, and international evidence suggests that most smokers return to pre-admission smoking levels following discharge. This protocol describes a randomised controlled trial that will test the feasibility, acceptability and efficacy of linking inpatient smoking care with ongoing community cessation support for smokers with a mental illness.</p> <p>Methods/Design</p> <p>This study will be conducted as a randomised controlled trial. 200 smokers with an acute mental illness will be recruited from a large inpatient mental health facility. Participants will complete a baseline survey and will be randomised to either a multimodal smoking cessation intervention or provided with hospital smoking care only. Randomisation will be stratified by diagnosis (psychotic, non-psychotic). Intervention participants will be provided with a brief motivational interview in the inpatient setting and options of ongoing smoking cessation support post discharge: nicotine replacement therapy (NRT); referral to Quitline; smoking cessation groups; and fortnightly telephone support. Outcome data, including cigarettes smoked per day, quit attempts, and self-reported 7-day point prevalence abstinence (validated by exhaled carbon monoxide), will be collected via blind interview at one week, two months, four months and six months post discharge. Process information will also be collected, including the use of cessation supports and cost of the intervention.</p> <p>Discussion</p> <p>This study will provide comprehensive data on the potential of an integrated, multimodal smoking cessation intervention for persons with an acute mental illness, linking inpatient with community cessation support.</p> <p>Trial Registration</p> <p>Australian and New Zealand Clinical Trials Registry ANZTCN: <a href="http://www.anzctr.org.au/ACTRN12609000465257.aspx">ACTRN12609000465257</a></p

Early Adverse Events, HPA Activity and Rostral Anterior Cingulate Volume in MDD

Prior studies have independently reported associations between major depressive disorder (MDD), elevated cortisol concentrations, early adverse events and region-specific decreases in grey matter volume, but the relationships among these variables are unclear. In the present study, we sought to evaluate the relationships between grey matter volume, early adverse events and cortisol levels in MDD.Grey matter volume was compared between 19 controls and 19 individuals with MDD using voxel-based morphometry. A history of early adverse events was assessed using the Childhood Trauma Questionnaire. Subjects also provided salivary cortisol samples. Depressed patients showed decreased grey matter volume in the rostral ACC as compared to controls. Rostral ACC volume was inversely correlated with both cortisol and early adverse events.These findings suggest a key relationship between ACC morphology, a history of early adverse events and circulating cortisol in the pathophysiology of MDD