The spectrum of the Liouville-von Neumann operator in the Hilbert-Schmidt space

The singular continuous spectrum of the Liouville operator of quantum statistical physics is, in general, properly included in the difference of the spectral values of the singular continuous spectrum of the associated Hamiltonian. The absolutely continuous spectrum of the Liouvillian may arise from a purely singular continuous Hamiltonian. We provide the correct formulas for the spectrum of the Liouville operator and show that the decaying states of the singular continuous subspace of the Hamiltonian do not necessarily contribute to the absolutely continuous subspace of the Liouvillian.

Sustainable Value Added - ein neues Maß des Nachhaltigkeitsbeitrags von Unternehmen am Beispiel der Henkel KGaA

This article introduces a new approach to measure corporate contributions to sustainability called Sustainable Value Added. Existing approaches to measure sustainability are based on a comparative assessment of environmental and social burdens and can thus be characterised as burden-based approaches. However, these approaches suffer from severe limitations as a comparative assessment and aggregation of all relevant environmental and social burdens fails in practice. In contrast to these burden-based approaches Sustainable Value Added is value-based. It determines the value that is created by the reduced or increased use of different environmental and social resources. For this purpose the use of environmental and social resources is valued at their opportunity cost. Sustainable Value Added allows an integrated assessment of the economic, environmental, and social performance of a company and expresses the corporate contribution to sustainability in a single monetary indicator. This article explains the theoretical background of Sustainable Value Added, relates it to existing approaches to measure sustainability, and - using the example of Henkel KGaA - demonstrates its practical applicability.

El Ser como mediación. Ontología, estética y analogía en la interpretación del ‘esse’ tomasiano de H. U. von Balthasar

El presente artículo expone los fundamentos de la interpretación que del esse tomasiano lleva a cabo Hans Urs von Balthasar. En ella ofrece von Balthasar, a partir de una interpretación en la línea de Siewerth, y como tal novedosa para la historia de la crítica, las directrices fundamentales de su propio pensamiento filosóficoteológico, cuyo eje lo constituye la diferencia entre esse y Dios como modelo para una hermenéutica no monista de la realidad. Con todo, la propuesta no está exenta de algunas dificultades y arbitrariedades que, desde una perspectiva crítica y aconfesional (por la que aquí se opta), conviene ineludiblemente subrayar.

Zur kognitiven Konstruktion von (Un-)Gerechtigkeit militärischer Gewalt: Die moralische Beurteilung des Kosovo-Kriegs

With reference to the Kosovo war, we examined how the (un-)justness of military intervention is cognitively constructed. Four types of reinterpretation were hypothesized to relate to positive evaluation of the intervention: minimisation of negative consequences of NATO's intervention, denial of responsibility of the Western countries for the war, blame of Yugoslavia, and justification of the intervention through positive motives. As determinants of evaluation of the war, belief in a just world, militarism-pacifism, authoritarianism, and diffuse political support were taken into account. Hypotheses were tested with 165 university students using structural equation modelling. Consistent with our assumptions, the four types of reinterpretation related strongly to positive evaluation of the intervention, showing their relevance with regard to military intervention. Further, the assessed political attitudes influenced evaluation of the war while, contrary to predictions, belief in a just world did not. The causal status of the reinterpretations and the interplay of belief in a just world and political attitudes are discussed.

Cardiopulmonary function in two human disorders of the hypoxia-inducible factor (HIF) pathway: von Hippel-Lindau disease and HIF-2 alpha gain-of-function mutation

The hypoxia-inducible factors (HIFs; isoforms HIF-1 alpha, HIF-2 alpha, HIF-3 alpha) mediate many responses to hypoxia. Their regulation is principally by oxygen-dependent degradation, which is initiated by hydroxylation of specific proline residues followed by binding of von Hippel-Lindau (VHL) protein. Chuvash polycythemia is a disorder with elevated HIF. It arises through germline homozygosity for hypomorphic VHL alleles and has a phenotype of hematological, cardiopulmonary, and metabolic abnormalities. This study explores the phenotype of two other HIF pathway diseases: classic VHL disease and HIF-2 alpha gain-of-function mutation. No cardiopulmonary abnormalities were detected in classic VHL disease. HIF-2 alpha gain-of-function mutations were associated with pulmonary hypertension, increased cardiac output, increased heart rate, and increased pulmonary ventilation relative to metabolism. Comparison of the HIF-2 alpha gain-of-function responses with data from studies of Chuvash polycythemia suggested that other aspects of the Chuvash phenotype were diminished or absent. In classic VHL disease, patients are germline heterozygous for mutations in VHL, and the present results suggest that a single wild-type allele for VHL is sufficient to maintain normal cardiopulmonary function. The HIF-2 alpha gain-of-function phenotype may be more limited than the Chuvash phenotype either because HIF-1 alpha is not elevated in the former condition, or because other HIF-independent functions of VHL are perturbed in Chuvash polycythemia.-Formenti, F., Beer, P. A., Croft, Q. P. P., Dorrington, K. L., Gale, D. P., Lappin, T. R. J., Lucas, G. S., Maher, E. R., Maxwell, P. H., McMullin, M. F., O'Connor, D. F., Percy, M. J., Pugh, C. W., Ratcliffe, P. J., Smith, T. G., Talbot, N. P., Robbins, P. A. Cardiopulmonary function in two human disorders of the hypoxia-inducible factor (HIF) pathway: von Hippel-Lindau disease and HIF-2 alpha gain-of-function mutation. FASEB J. 25, 2001-2011 (2011). www.fasebj.org

HIF-2alpha Associated Familial Erythrocytosis Supports the PHD2-HIF2-alpha-VHL Axis as the Major Regulator of Erythropoietin Production

Transcriptionally erythropoietin (Epo) synthesis is tightly regulated by the hypoxia inducible factor (HIF), which is composed of one alpha and one beta subunit that are constitutively expressed. The beta subunit is non-variable, but three different alpha subunits give rise to three isoforms of HIF. The alpha subunit is proteasomally regulated in the presence of oxygen by hydroxylation of the proline in the LXXLAP motif of the oxygen dependent degradation (ODD) domain of HIFalpha, catalysed by members of the prolyl hydroxylase domain (PHD) family of enzymes. This allows the von Hippel Lindau (VHL) protein to associate with the alpha subunit, which is subsequently tagged with ubiquitin and degraded by the proteasome. Any defect in the oxygen sensing pathway that allows the alpha subunit to escape proteasomal regulation leads to elevated expression of HIF target genes.

Recently mutations in both VHL and PHD2 have been identified in a cohort of patients with erythrocytosis, but no mutations were found in the ODD domain of HIF1alpha. Instead, investigation of the homologous region in HIF-2alpha revealed four different mutations, Pro534Leu, Met535Val, Gly537Arg and Gly537Trp in seven individuals/families. Affected individuals presented at a young age with elevated serum Epo. Several individuals have a clinical history of thrombosis, but no evidence of a von Hippel Lindau-like syndrome.

To define how the four mutations relate to the erythrocytosis phenotype functional assays were performed in vitro. Binding of PHD2 to the four HIF-2alpha mutants was impaired to varying degrees, with both the Gly537 mutants showing the greatest reduction. The association of VHL with the hydroxylated Met535Val mutant peptide was similar to wild type HIF- 2alpha, but was decreased in the other three HIF-2alpha mutants. Expression of three HIF- 2alpha target genes, adrenomedullin, NDRG1 and VEGF, was significantly up-regulated in cells stably transfected with the mutants under normoxia compared to wild type HIF-2alpha. Mutations in the ODD domain of HIF-2alpha disrupt proteasomal regulation by reducing the association with PHD2 and hence hydroxylation. Furthermore the binding of VHL is also impaired, even when HIF-2alpha is hydroxylated. Examination of the three-dimensional structure of hydroxylated HIF-1alpha bound to VHL confirms that amino acids close to site of hydroxylation (Pro-531 in isoform 2) are important for this association. These observations, together with recent studies utilising murine models of erythrocytosis, support the PHD2-HIF-2alpha-VHL axis as the major regulator of erythropoietin.