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Sobczyk's theorem and the Bounded Approximation Property

Jesús M. F. Castillo, Yolanda Moreno (2010)

Studia Mathematica

Sobczyk's theorem asserts that every c₀-valued operator defined on a separable Banach space can be extended to every separable superspace. This paper is devoted to obtaining the most general vector valued version of the theorem, extending and completing previous results of Rosenthal, Johnson-Oikhberg and Cabello. Our approach is homological and nonlinear, transforming the problem of extension of operators into the problem of approximating z-linear maps by linear maps.

Sobolev spaces of integer order on compact homogeneous manifolds and invariant differential operators

Cristiana Bondioli (1996)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Let M be a Riemannian manifold, which possesses a transitive Lie group G of isometries. We suppose that G , and therefore M , are compact and connected. We characterize the Sobolev spaces W p 1 M 1 < p <...

Sobre la ecuación cuadrática en operadores A + BT +TC + TDT = 0.

Vicente Hernández, Lucas Jódar (1983)

Stochastica

By means of the application of annihilating entire functions of an operator, the bilateral quadratic equation in operators A + BT +TC + TDT = 0, is changed into an unilateral linear equation, obtaining conditions under which the solutions of such linear equation satisfy the quadratic equation.

Sobre los operadores desplazamiento bilateral ponderados e invertibles.

Lucas Jódar (1983)

Stochastica

In this paper the analytic-spectral structure of the commutant of an invertible bilateral weighted shift operator is studied, extending known results. A class of operators is introduced, more general than the class of the rationally strictly cyclic bilateral shift [operators] which are not unicellular.

Sobre los operadores desplazamiento ponderados sub-acotados.

Lucas Jódar (1984)

Stochastica

We study the relation between the sets of cyclic vectors of an unilateral bounded below weighted shift operator T and T|S where S is an invariant subspace of T. It is proved that T can not be unicellular and known results are generalized.

Software cost estimation with fuzzy inputs: Fuzzy modelling and aggregation of cost drivers

Miguel-Ángel Sicilia, Juan-J. Cuadrado-Gallego, Javier Crespo, Elena García Barriocanal (2005)

Kybernetika

Parametric software cost estimation models are well-known and widely used estimation tools, and several fuzzy extensions have been proposed to introduce a explicit handling of imprecision and uncertainty as part of them. Nonetheless, such extensions do not consider two basic facts that affect the inputs of software cost parametric models: cost drivers are often expressed through vague linguistic categories, and in many cases cost drivers are better expressed in terms of aggregations of second-level...

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