The unit ball of the complex P(3H)

Let H be a two-dimensional complex Hilbert space and P(3H) the space of 3-homogeneous polynomials on H. We give a characterization of the extreme points of its unit ball, P(3H), from which we deduce that the unit sphere of P(3H) is the disjoint union of the sets of its extreme and smooth points. We also show that an extreme point of P(3H) remains extreme as considered as an element of L(3H). Finally we make a few remarks about the geometry of the unit ball of the predual of P(3H) and give a characterization of its smooth points.

The police officer's terrorist dilemma: Trust resilience following fatal errors

Suicide attacks have raised the stakes for officers deciding whether or not to shoot a suspect ('Police Officer's Terrorist Dilemma'). Despite high-profile errors we know little about how trust in the police is affected by their response to the terrorist threat. Building on a conceptualisation of lay observers as intuitive signal detection theorists, a general population sample (N= 1153) were presented with scenarios manipulated in terms of suspect status (Armed/Unarmed), officer decision (Shoot/Not Shoot) and outcome severity (e.g. suspect armed with Bomb/Knife; police shoot suspect/ suspect plus child bystander). Supporting predictions, people showed higher trust in officers who made correct decisions. reflecting good discrimination ability and who decided to shoot, reflecting an 'appropriate' response bias given the relative costs and benefits. This latter effect was moderated by (a) outcome severity, suggesting it did not simply reflect a preference for a particular type of action, and (b) preferences for a tough stance towards terrorism indexed by Right-Wing Authoritarianism (RWA). Despite loss of civilian life, failure to prevent minor terror attacks resulted in no loss of trust amongst people low in RWA. whereas among people high in RWA trust was positive when police erroneously shot all unarmed suspect. Relations to alternative definitions of trust and procedural justice research are discussed. Copyright (C),. 2007 John Wiley & Sons, Ltd.

Trust considerations on attitudes towards online purchasing: The moderating effect of privacy and security concerns

The research examines the relationships between three common trust considerations (vendor, Internet and third parties) and attitudes towards online purchasing. The study incorporates privacy and security concerns as a moderating variable and finds that these relationships vary depending on the level of concerns a consumer has when purchasing online. The study suggests that "fears" surrounding the Internet as a place to do business still hinder the use of it for e-commerce purposes, but that the presence of a reputable agent might in some manner mitigate this risk. In the context of business to consumer relationships trust in the vendor is important for the consumer to accept any risk associated with a transaction. Theoretical implications for online customer behavior theory are also discussed. © 2009 Elsevier Inc.

Understanding online customer repurchasing intention and the mediating role of trust - an empirical investigation in two developed countries

Although e-commerce adoption and customers initial purchasing behavior have been well studied in the literature, repeat purchase intention and its antecedents remain understudied. This study proposes a model to understand the extent to which trust mediates the effects of vendor-specific factors on customers intention to repurchase from an online vendor. The model was tested and validated in two different country settings. We found that trust fully mediates the relationships between perceived reputation, perceived capability of order fulfillment, and repurchasing intention, and partially mediates the relationship between perceived website quality and repurchasing intention in both countries. Moreover, multi-group analysis reveals no significant between-country differences of the model with regards to the antecedents and outcomes of trust, except the effect of reputation on trust. Academic and practical implications and future research are discussed. © 2009 Operational Research Society Ltd.

The Philosophy and Practice of Interpretivist Research in Entrepreneurship Quality, Validation, and Trust

Knowledge production in entrepreneurship requires inclusivity as well as diversity and pluralism in research perspectives and approaches. In this article, the authors address concerns about interpretivist research regarding validity, reliability, objectivity, generalizability, and communicability of results that militate against its more widespread acceptance. Following the nonfoundationalist argument that all observation is theory-laden, context specific, and that there are no external criteria against which to assess research design and execution and the data produced, the authors propose that quality must be internalized within the underlying research philosophy rather than something to be tested upon completion. This requires a shift from the notion of validity as an outcome to validation as a process. To elucidate this, they provide a guiding framework and present a case illustration that will assist an interpretivist entrepreneurship researcher to establish and demonstrate the quality of their work.

Extravascular lung water indexed to predicted body weight is a novel predictor of intensive care unit mortality in patients with acute lung injury

Objectives: Acute lung injury and the acute respiratory distress syndrome are characterized by noncardiogenic pulmonary edema, which can be assessed by measurement of extravascular lung water. Traditionally, extravascular lung water has been indexed to actual body weight (mL/kg). Because lung size is dependent on height rather than weight, we hypothesized indexing to predicted body weight may be a better predictor of mortality in acute lung injury/acute respiratory distress syndrome.

The ‘Us’ in Trust: Who Trusts Northern Ireland’s Political Institutions and Actors?

This article examines levels of interest and trust among the public in relation to Northern Ireland's newly established political institutions and actors, through an analysis of the results of the 2007 Northern Ireland Life and Times Survey (NILT). It is important to reveal the specific groups of people with the highest levels of political disenchantment, particularly in the context of the longer-term stability of the Northern Ireland Assembly and Executive, since the willingness of the electorate to have faith and trust in the workability of these political institutions and in the various political actors in whose custody they lie is considered vital.

Routine delirium monitoring in a UK critical care unit

Introduction Delirium in the intensive care unit (ICU) is associated with increased morbidity and mortality. Using an assessment tool has been shown to improve the ability of clinicians in the ICU to detect delirium. The confusion assessment method for the ICU (CAM-ICU) is a validated delirium-screening tool for critically ill intubated patients. The aim of this project was to establish the feasibility of routine delirium screening using the CAM-ICU and to identify the incidence of delirium in a UK critical care unit.