257 research outputs found
Inner Derivations and Weak-2-Local Derivations on the C*-Algebra C-0(L, A)
[EN] Let L be a locally compact Hausdorff space. Suppose A is a -algebra with the property that every weak-2-local derivation on A is a (linear) derivation. We prove that every weak-2-local derivation on is a (linear) derivation. Among the consequences we establish that if B is an atomic von Neumann algebra or a compact -algebra, then every weak-2-local derivation on is a linear derivation. We further show that, for a general von Neumann algebra M, every 2-local derivation on is a linear derivation. We also prove several results representing derivations on and on as inner derivations determined by multipliers.Jorda Mora, E.; Peralta, A. (2017). Inner Derivations and Weak-2-Local Derivations on the C*-Algebra C-0(L, A). Integral Equations and Operator Theory. 89(1):89-110. https://doi.org/10.1007/s00020-017-2390-xS89110891Akemann, C.A., Elliott, G.E., Pedersen, G.K., Tomiyama, J.: Derivations and multipliers of C â -algebras. Am. J. Math. 98(3), 679â708 (1976)Akemann, C.A., Johnson, B.E.: Derivations of non-separable C â -algebras. J. Funct. Anal. 33, 311â331 (1979)Akemann, C.A., Pedersen, G.K., Tomiyama, J.: Multipliers of C â -algebras. J. Funct. Anal. 13, 277â301 (1973)Archbold, R.J.: On the norm of an inner derivation of a C â -algebra. Math. Proc. Camb. Philos. Soc. 84, 273â291 (1978)Archbold, R.J., Somerset, D.W.B.: Inner derivations and primal ideals of C â -algebras. II. Proc. Lond. Math. Soc. (3) 88(1), 225â250 (2004)Ayupov, S., Arzikulov, F.N.: 2-Local derivations on algebras of matrix-valued functions on a compact, preprint (2015). arXiv:1509.05701v1Ayupov, Sh, Kudaybergenov, K.K.: 2 -local derivations on von Neumann algebras. Positivity 19(3), 445â455 (2015). doi: 10.1007/s11117-014-0307-3Burgos, M., Cabello, J.C., Peralta, A.M.: Weak-local triple derivations on C â -algebras and JB â -triples. Linear Algebra Appl. 506, 614â627 (2016). doi: 10.1016/j.laa.2016.06.042Cabello, J.C., Peralta, A.M.: Weak-2-local symmetric maps on C â -algebras. Linear Algebra Appl. 494, 32â43 (2016). doi: 10.1016/j.laa.2015.12.024Cabello, J.C., Peralta, A.M.: On a generalized Ć emrlâs theorem for weak-2-local derivations on B ( H ) . Banach J. Math. Anal. 11(2), 382â397 (2017)Elliott, G.A.: Some C â -algebras with outer derivations. III. Ann. Math. (2) 106(1), 121â143 (1977)Elliott, G.A.: On derivations of AW â -algebras. Tohoku Math. J. 30, 263â276 (1978)Essaleh, A.B.A., Peralta, A.M., RamĂrez, M.I.: Weak-local derivations and homomorphisms on C â -algebras. Linear Multilinear Algebra 64(2), 169â186 (2016)Essaleh, A.B.A., Peralta, A.M., RamĂrez, M.I.: CORRIGENDUM: Weak-local derivations and homomorphisms on C â -algebras. Linear Multilinear Algebra 64(5), 1009â1010 (2016)Gajendragadkar, P.: Norm of a derivation of a von Neumann algebra. Trans. Am. Math. Soc. 170, 165â170 (1972)GogiÄ, I.: Derivations of subhomogeneous C â -algebras are implemented by local multipliers. Proc. Am. Math. Soc. 141(11), 3925â3928 (2013)GogiÄ, I.: The local multiplier algebra of a C â -algebra with finite dimensional irreducible representations. J. Math. Anal. Appl. 408(2), 789â794 (2013)Hewitt, E., Ross, K.A.: Abstract Harmonic Analysis. Vol. II: Structure and Analysis for Compact Groups. Analysis on Locally Compact Abelian Groups. Springer, New York, Berlin (1970)JordĂĄ, E., Peralta, A.M.: Stability of derivations under weak-2-local continuous perturbations. Aequationes Math. 91, 99â114 (2017)Kadison, R.V., Lance, E.C., Ringrose, J.R.: Derivations and automorphisms of operator algebras II. J. Funct. Anal. 1, 204â221 (1967)Kyle, J.: Norms of derivations. J. Lond. Math. Soc. II Ser. 16, 297â312 (1977)Kowalski, S., SĆodkowski, Z.: A characterization of multiplicative linear functionals in Banach algebras. Stud. Math 67, 215â223 (1980)Lance, E.C.: Automorphisms of certain operator algebras. Am. J. Math. 91, 160â174 (1969)Michael, E.: Continuous selections I. Ann. Math. 63, 361â382 (1956)Niazi, M., Peralta, A.M.: Weak-2-local derivations on M n . FILOMAT 31(6), 1687â1708 (2017)Niazi, M., Peralta, A.M.: Weak-2-local â -derivations on B ( H ) are linear â -derivations. Linear Algebra Appl. 487, 276â300 (2015)Pedersen, G.K.: Approximating derivations on ideals of C â -algebras. Invent. Math. 45, 299â305 (1978)Ringrose, J.R.: Automatic continuity of derivations of operator algebras. J. Lond. Math. Soc. 2(5), 432â438 (1972)Sakai, S.: On a conjecture of Kaplansky. Tohoku Math. J. 12, 31â33 (1960)Sakai, S.: C â -Algebras and W â -Algebras. Springer, Berlin (1971)Sakai, S.: Derivations of simple C â -algebras. II. Bull. Soc. Math. Fr. 99, 259â263 (1971)Ć emrl, P.: Local automorphisms and derivations on B ( H ) . Proc. Am. Math. Soc. 125, 2677â2680 (1997)Somerset, D.W.B.: The inner derivations and the primitive ideal space of a C â -algebra. J. Oper. Theory 29, 307â321 (1993)Somerset, D.W.B.: Inner derivations and primal ideals of C â -algebras. J. Lond. Math. Soc. 2(50), 568â580 (1994)Somerset, D.W.B.: The local multiplier algebra of a C â -algebra. II. J. Funct. Anal. 171(2), 308â330 (2000)Stampfli, J.G.: The norm of a derivation. Pac. J. Math. 33(3), 737â747 (1970)Takesaki, M.: Theory of Operator Algebras I. Springer, Berlin (1979)Zsido, L.: The norm of a derivation in a W â -algebra. Proc. Am. Math. Soc. 38, 147â150 (1973
The effects of cohousing model on people's health and wellbeing : A scoping review
Housing is a social determinant of health. Extensive research has highlighted its adverse effects on health. However, less is known about the effects of cohousing typology on health, which has the potential to create lively social networks and healthy communities and environments. We report the findings of a scoping study designed to gather and synthesise all known evidence on the relationship between cohousing and wellbeing and health. Using the scoping review method, we conducted a literature review in PubMed, ProQuest, Scopus, Web of Science, Science Direct and JSTOR in May 2019 and selected articles published from 1960 onwards, with no geographical limit and no design restrictions. Retrieved articles underwent three sequential screening phases. The results were described through a narrative synthesis of the evidence. Of the 2560 articles identified, we selected 25 full-Text articles analysing 77 experiences. All of them were conducted in high-income countries. Ten studies analysed the impact of cohousing on physical and mental health or quality of life and wellbeing. Eight of the 10 studies found a positive association. In addition, 22 studies analysed one or more psychosocial determinants of health (such as social support, sense of community and physical, emotional and economic security) and most found a positive association. Through these determinants, quality of life, wellbeing and health could be improved. However, the quality of the evidence was low. The cohousing model could enhance health and wellbeing mediated by psychosocial determinants of health. However, extreme caution should be exercised in drawing any conclusions due to the dearth of data identified and the designs used in the included studies, with most being cross-sectional or qualitative studies, which precluded causal-based interpretations. Because housing is a major social determinant of health, more evidence is needed on the impact of this model on health through both psychosocial and material pathways
Search for composite and exotic fermions at LEP 2
A search for unstable heavy fermions with the DELPHI detector at LEP is
reported. Sequential and non-canonical leptons, as well as excited leptons and
quarks, are considered. The data analysed correspond to an integrated
luminosity of about 48 pb^{-1} at an e^+e^- centre-of-mass energy of 183 GeV
and about 20 pb^{-1} equally shared between the centre-of-mass energies of 172
GeV and 161 GeV. The search for pair-produced new leptons establishes 95%
confidence level mass limits in the region between 70 GeV/c^2 and 90 GeV/c^2,
depending on the channel. The search for singly produced excited leptons and
quarks establishes upper limits on the ratio of the coupling of the excited
fermio
Search for charginos in e+e- interactions at sqrt(s) = 189 GeV
An update of the searches for charginos and gravitinos is presented, based on
a data sample corresponding to the 158 pb^{-1} recorded by the DELPHI detector
in 1998, at a centre-of-mass energy of 189 GeV. No evidence for a signal was
found. The lower mass limits are 4-5 GeV/c^2 higher than those obtained at a
centre-of-mass energy of 183 GeV. The (\mu,M_2) MSSM domain excluded by
combining the chargino searches with neutralino searches at the Z resonance
implies a limit on the mass of the lightest neutralino which, for a heavy
sneutrino, is constrained to be above 31.0 GeV/c^2 for tan(beta) \geq 1.Comment: 22 pages, 8 figure
Search for lightest neutralino and stau pair production in light gravitino scenarios with stau NLSP
Promptly decaying lightest neutralinos and long-lived staus are searched for
in the context of light gravitino scenarios. It is assumed that the stau is the
next to lightest supersymmetric particle (NLSP) and that the lightest
neutralino is the next to NLSP (NNLSP). Data collected with the Delphi detector
at centre-of-mass energies from 161 to 183 \GeV are analysed. No evidence of
the production of these particles is found. Hence, lower mass limits for both
kinds of particles are set at 95% C.L.. The mass of gaugino-like neutralinos is
found to be greater than 71.5 GeV/c^2. In the search for long-lived stau,
masses less than 70.0 to 77.5 \GeVcc are excluded for gravitino masses from 10
to 150 \eVcc . Combining this search with the searches for stable heavy leptons
and Minimal Supersymmetric Standard Model staus a lower limit of 68.5 \GeVcc
may be set for the stau mas
Hadronization properties of b quarks compared to light quarks in e+e- -> q qbar from 183 to 200 GeV
The DELPHI detector at LEP has collected 54 pb^{-1} of data at a
centre-of-mass energy around 183 GeV during 1997, 158 pb^{-1} around 189 GeV
during 1998, and 187 pb^{-1} between 192 and 200 GeV during 1999. These data
were used to measure the average charged particle multiplicity in e+e- -> b
bbar events, _{bb}, and the difference delta_{bl} between _{bb} and the
multiplicity, _{ll}, in generic light quark (u,d,s) events: delta_{bl}(183
GeV) = 4.55 +/- 1.31 (stat) +/- 0.73 (syst) delta_{bl}(189 GeV) = 4.43 +/- 0.85
(stat) +/- 0.61 (syst) delta_{bl}(200 GeV) = 3.39 +/- 0.89 (stat) +/- 1.01
(syst). This result is consistent with QCD predictions, while it is
inconsistent with calculations assuming that the multiplicity accompanying the
decay of a heavy quark is independent of the mass of the quark itself.Comment: 13 pages, 2 figure
La merienda escolar, aliada de la buena alimentaciĂłn
En Argentina menos de 30 productos representan mĂĄs de la mitad del gasto en alimentos de los hogares pobres, y mĂĄs del 85% de las calorĂas y nutrientes ingeridos. La alimentaciĂłn en los sectores de menores ingresos es muy parecida en todo el territorio, si bien en el Noroeste un poco mĂĄs de mandioca o en el Sur un poco mĂĄs de cordero. La dieta de los pobres es monĂłtona por problemas econĂłmicos y determina dĂ©ficit de nutrientes y micronutrientes. En los hogares de nivel socioeconĂłmico medio-alto aĂșn conserva rasgos de monotonĂa por exceso en el consumo de alimentos muy industrializados, alto contenido de azĂșcares y grasas saturadas y pobre contenido de fibra. En la Provincia de San Luis, se ha reglamentado la LEY NÂș III-0743-2010 âMEjor alimentacion, mas saludâ, homologada por el Decreto del Poder Ejecutivo NÂș 2826, por el cual se ha implementado tambiĂ©n un Programa del Ministerio de Salud de la Provincia, con el objetivo de difundir en las escuelas el establecimiento de âKioscos saludablesâ, con el propĂłsito fundamental de proveer a los distintos actores de la comunidad educativa una merienda que respete las caracterĂsticas de saludable, accediendo a ella en forma responsable y voluntaria, respetando las Leyes de la NutriciĂłn: suficiente, completa, armĂłnica, adecuada e inocua. Desde el Programa de ExtensiĂłn de la Universidad Nacional de San Luis, en colaboraciĂłn con INTA San Luis, nos propusimos investigar la realidad en una escuela de nivel medio de la ciudad de Villa Mercedes (S.L) junto a docentes del nivel primario y secundario de la escuela. Se realizaron talleres para indagar los hĂĄbitos alimenticios de niños de 5to grado, (tres divisiones). Se usaron tĂ©cnicas de juego y grupos donde los niños pudieron expresar mediante dibujos y recortes tres consignas: 1) quĂ© les gustaba comer, 2) quĂ© comĂan habitualmente, 3) quĂ© alimentos no habĂan comido nunca. Se valoraron los alimentos mĂĄs nutritivos y a su vez sanos y se brindaron recomendaciones para la buena alimentaciĂłn a niños y mediante trĂpticos divulgativos llegamos a sus padres. Los resultados obtenidos luego de la evaluaciĂłn de las encuestas y los afiches mostrĂł que los niños de clase media tienen una dieta poco variada, que hay muchos alimentos que nunca se han probado y que sus gustos van dirigidos a alimentos de alto contenido graso y poco valor nutricional. Se espera en el segundo año de ejecuciĂłn del proyecto indicadores de cambio de hĂĄbitos nutricionales en los alumnos con los que se ha trabajado en la concientizaciĂłn y educaciĂłn en dieta saludable.Â
Evolution of the use of corticosteroids for the treatment of hospitalised COVID-19 patients in Spain between March and November 2020: SEMI-COVID national registry
Objectives: Since the results of the RECOVERY trial, WHO recommendations about the use of corticosteroids (CTs) in COVID-19 have changed. The aim of the study is to analyse the evolutive use of CTs in Spain during the pandemic to assess the potential influence of new recommendations. Material and methods: A retrospective, descriptive, and observational study was conducted on adults hospitalised due to COVID-19 in Spain who were included in the SEMI-COVID- 19 Registry from March to November 2020. Results: CTs were used in 6053 (36.21%) of the included patients. The patients were older (mean (SD)) (69.6 (14.6) vs. 66.0 (16.8) years; p < 0.001), with hypertension (57.0% vs. 47.7%; p < 0.001), obesity (26.4% vs. 19.3%; p < 0.0001), and multimorbidity prevalence (20.6% vs. 16.1%; p < 0.001). These patients had higher values (mean (95% CI)) of C-reactive protein (CRP) (86 (32.7-160) vs. 49.3 (16-109) mg/dL; p < 0.001), ferritin (791 (393-1534) vs. 470 (236- 996) ”g/dL; p < 0.001), D dimer (750 (430-1400) vs. 617 (345-1180) ”g/dL; p < 0.001), and lower Sp02/Fi02 (266 (91.1) vs. 301 (101); p < 0.001). Since June 2020, there was an increment in the use of CTs (March vs. September; p < 0.001). Overall, 20% did not receive steroids, and 40% received less than 200 mg accumulated prednisone equivalent dose (APED). Severe patients are treated with higher doses. The mortality benefit was observed in patients with oxygen saturation </=90%. Conclusions: Patients with greater comorbidity, severity, and inflammatory markers were those treated with CTs. In severe patients, there is a trend towards the use of higher doses. The mortality benefit was observed in patients with oxygen saturation </=90%
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