10,600 research outputs found

    Álgebras de von Neumann - fatores

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    Dissertação (mestrado) - Universidade Federal de Santa Catarina, Centro de Ciências Físicas e Matemáticas, Programa de Pós-Graduação em Matemática e Computação Científica, Florianópolis, 2011Dada uma álgebra de von Neumann M em L(H), onde L(H) é o espaço dos operadores lineares e limitados sobre um espaço de Hilbert H, dizemos que M é um fator se seu centro consiste somente por múltiplos escalares do operador identidade de L(H). Quando M é um fator, podemos classificá-lo em tipo I, II e III. Além disso, o tipo II pode ser dividido em dois sub-tipos. O objetivo dessa dissertação é exibir exemplos de fatores, bem como exemplos dos tipos I, II e seus sub-tipos

    Equilibrio competitivo y soportes del crecimiento en el modelo de Von Neumann

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    This paper shows the existence of a reproducible competitive equilibrium in the general Von Neumann growth model, extending in this way a result due to Roemer.

    Algebraic integrability of confluent Neumann system

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    In this paper we study the Neumann system, which describes the harmonic oscillator (of arbitrary dimension) constrained to the sphere. In particular we will consider the confluent case where two eigenvalues of the potential coincide, which implies that the system has S1S^1 symmetry. We will prove complete algebraic integrability of the confluent Neumann system and show that its flow can be linearized on the generalized Jacobian torus of some singular algebraic curve. The symplectic reduction of S 1 action will be described and we will show that the general Rosochatius system is a symplectic quotient of the confluent Neumann system, where all the eigenvalues of the potential are double

    Convergence of infinite products of matrices and inner-outer iteration schemes

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    Elsner L, Bru R, Neumann MM. Convergence of infinite products of matrices and inner-outer iteration schemes. Electronic Transactions on Numerical Analysis. 1994;2:183-193

    Three nontrivial solutions for the p-Laplacian Neumann problems with a concave nonlinearity near the origin

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    We consider a nonlinear Neumann problem driven by the p- Laplacian, with a right-hand side nonlinearity which is concave near the origin. Using variational techniques, combined with the method of upper-lower solutions and with Morse theory, we show that the problem has at least three nontrivial smooth solutions, two of which have a constant sign (one positive and one negative).FCTPOCI/MAT/55524/200

    Groupe V/a : Rapports sur le mémoire de M. G. L. Neumann. Rapports des Commissaires

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    Homès-Van Schoor Germaine, Lebrun Jean, Homès Marcel Victor. Groupe V/a : Rapports sur le mémoire de M. G. L. Neumann. Rapports des Commissaires. In: Bulletin de la Classe des sciences, tome 66, 1980. pp. 837-839

    Groupe V/a : Rapports sur le mémoire de M. G. L. Neumann. Rapports des Commissaires

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    Homès-Van Schoor Germaine, Lebrun Jean, Homès Marcel Victor. Groupe V/a : Rapports sur le mémoire de M. G. L. Neumann. Rapports des Commissaires. In: Bulletin de la Classe des sciences, tome 66, 1980. pp. 837-839

    The von Neumann Model and the Early Models of General Equilibrium

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    The paper reconstructs the von Neumann model, comments on its salient features and critically reviews some of its generalisations. The issues related to thetreatment of consumption, decomposability and uniqueness of the rate of growth and interest will be especially scrutinised. The most prominent models of general equilibrium that appeared before or roughly at the same time as von Neumann's model will be also reviewed in the paper and compared with it. It will be demonstrated that none of them had any noticeable influence on von Neumann's model, which is genuinely distinct, ideologically free and methodologically fresh and forward-looking. It will be argued that the model can be viewed as a brilliant mathematical metaphor of some deep-rooted old vision, pertaining to the core issues of commodity production

    Examples of compact quantum groups with L ∞ ( G ) a factor

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    For each λ∈] 0,1] we exhibit an uncountable family of compact quantum groups G such that the von Neumann algebra L∞ (G) is the injective factor of type IIIλ with separable predual. We also show that uncountably many injective factors of type III0 arise as L∞ (G) for some compact quantum group G. We introduce natural invariants of quantum groups related to the scaling group, modeled on the Connes invariant T for von Neumann algebras. We compute the values of these invariants in our examples, which allows us to distinguish between them. We also investigate their connection to the Connes invariants T(L∞(G)), S(L∞(G)). In the final section we show that for a compact quantum group G the von Neumann algebra L∞(G) cannot have a direct summand of the form B(H) with dim H=∞. In particular, factors of type I (of any dimension) cannot be obtained as L∞(G) for a non-trivial compact quantum group G

    Chemical electric field effects in biological macromolecules

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    Neumann E. Chemical electric field effects in biological macromolecules. Progress in Biophysics and Molecular Biology. 1986;47(3):197-231
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