2,452 research outputs found

    On unitary convex decompositions of vectors in a JBJB^{*}-algebra

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    summary:By exploiting his recent results, the author further investigates the extent to which variation in the coefficients of a unitary convex decomposition of a vector in a unital JBJB^{*}-algebra permits the vector decomposable as convex combination of fewer unitaries; certain C C^{*}-algebra results due to M. Rørdam have been extended to the general setting of JBJB^{*}-algebras

    Percutaneous treatment of simultaneous aortic dissection and pericardial tamponade during coronary intervention.

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    We report on a case of an unexpected dissection of the left main stem during percutaneous coronary intervention complicated by involvement of the ascending aorta with pericardial tamponade. After pericardial drainage, haemodynamic stabilization, and extensive stenting of the propagating dissection, safe discharge was possible without surgical intervention

    Análise da paisagem do Jardim Botânico de Porto Alegre

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    A presente monografia , possui como objetivo , a análise da paisagem do Jardim Botânico de Porto Alegre/RS, com vistas a fornecer subsídios para a tomada de decisão na definição de unidades de paisagem. Para fins desse estudo, será apresentada a paisagem urbana do Município de Porto Alegre, seu processo de urbanização e seus espaços verdes. Em seguida, será apresentado o contexto da criação do Jardim Botânico (JB) em 1958, e a criação do bairro que recebe o mesmo nome em 1959, mesmo ano da real ização do primeiro Plano Diretor da cidade de Porto Alegre. Buscou-se o aprofundamento do estudo da paisagem, reconhecida enquanto categoria de análise da Geografia. Por derradeiro, foram analisadas as entrevistas realizadas com os funcionários do Jardim B otânico, com o propósito de resgatar a memória da construção da paisagem do JB. Para o desenvolvimento do estudo foi utilizado o roteiro metodológico para a realização da leitura da paisagem, com base nos estudos de Roberto Verdum (2012). Verificamos, ao final, a possibilidade de aplicação da referida metodologia na definição das unidades de paisagem, bem como a importância do Jardim Botânico como elemento, harmonizador da paisagem urbana, tanto do bairro Jardim Botânico, quanto para a cidade de Porto Alegr e/RS. Destacamos também, a importância do JB para a educação ambiental e para o conhecimento e desenvolvimento da ciência para os biomas gaúchos ali preservados e estudados.The objective of this monograph is to analyse the landscape of the Botanic Garden of Porto Alegre / RS, to provide support for decision making in the definition of landscape units. For purposes of this study, the urban landscape of the Municipality of Porto Alegre, its urbanization process and its green spaces will be presented. Then, the context of the creati on of the Jardim Botânico (JB) in 1958 and the creation of the neighbourhood that received the same name in 1959, the same year of the first Master Plan of the city of Porto Alegre, will be presented. It was sought the deepening of the study of the landsc ape, recognized as category of analysis of Geography. Finally, the interviews with the staff of the Botanic Garden were analysed , with the purpose of recovering the memory of the construction of the JB landscape. For the development of the study was used t he methodological roadmap for performing the landscape reading, based on the studies of Roberto Verdum (2012). Finally, we verified the possibility of applying this methodology in the definition of landscape units, as well as the importance of the Botanica l Garden as an element, harmonizing the urban landscape, both in the Jardim Botânico neighbourhood and in the city of Porto Alegre / RS. We also emphasize the importance of JB for environmental education and for the knowledge and development of science for the gaucho biomes preserved and studied

    Surjective isometries between unitary sets of unital JB∗-algebras

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    We would like to thank Prof. Lajos Molnár for encouraging us to explore this problem. We are also indebted to the anonymous reviewer for several useful comments. First and fifth authors partially supported by the Spanish Ministry of Science, Innovation and Universities (MICINN) and European Regional Development Fund project no. PGC2018-093332-B-I00, Programa Operativo FEDER 2014-2020 and Consejería de Economía y Conocimiento de la Junta de Andalucía grant numbers A-FQM-242-UGR18 and FQM375. First author partially supported by EPSRC (UK) project “Jordan Algebras, Finsler Geometry and Dynamics” ref. no. EP/R044228/1. Second author partially supported by JSPS KAKENHI Grant Number JP 21J21512. Fourth author partially supported by JSPS KAKENHI (Japan) Grant Number JP 20K03650. * Funding for open access charge: Universidad de Granada / CBUAThis paper is, in a first stage, devoted to establishing a topological–algebraic characterization of the principal component, U0(M), of the set of unitary elements, U(M), in a unital JB⁎-algebra M. We arrive to the conclusion that, as in the case of unital C⁎-algebras, U0(M)=M1−1∩U(M)={Ue⋯Ue(1):n∈N,hj∈Msa∀1≤j≤n}={u∈U(M): there exists w∈U0(M) with ‖u−w‖<2} is analytically arcwise connected. Actually, U0(M) is the smallest quadratic subset of U(M) containing the set eiM. Our second goal is to provide a complete description of the surjective isometries between the principal components of two unital JB⁎-algebras M and N. Contrary to the case of unital C⁎-algebras, we shall deduce the existence of connected components in U(M) which are not isometric as metric spaces. We shall also establish necessary and sufficient conditions to guarantee that a surjective isometry Δ:U(M)→U(N) admits an extension to a surjective linear isometry between M and N, a conclusion which is not always true. Among the consequences it is proved that M and N are Jordan ⁎-isomorphic if, and only if, their principal components are isometric as metric spaces if, and only if, there exists a surjective isometry Δ:U(M)→U(N) mapping the unit of M to an element in U0(N). These results provide an extension to the setting of unital JB⁎-algebras of the results obtained by O. Hatori for unital C⁎-algebras.CBUAConsejería de Economía y Conocimiento de la Junta de Andalucía A-FQM-242-UGR18, FQM375Ministerio de Ciencia, Innovación y UniversidadesEngineering and Physical Sciences Research Council EP/R044228/1Universidad de GranadaMinisterio de Ciencia e InnovaciónJapan Society for the Promotion of Science JP 20K03650, JP 21J21512European Regional Development Fund PGC2018-093332-B-I0
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