854 research outputs found

    Subsymmetric weak∗^* Schauder bases and factorization of the identity

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    Let X∗X^* denote a Banach space with a subsymmetric weak∗^* Schauder basis satisfying condition~\eqref{eq:condition-c}. We show that for any operator T:X∗→X∗T : X^*\to X^*, either T(X∗)T(X^*) or (I−T)(X∗)(I-T)(X^*) contains a subspace that is isomorphic to X∗X^* and complemented in X∗X^*. Moreover, we prove that ℓp(X∗)\ell^p(X^*), 1≤p≤∞1\leq p \leq \infty is primary.Comment: 16 pages, 1 figur

    Adaptive deterministic dyadic grids on spaces of homogeneous type

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    In the context of spaces of homogeneous type, we develop a method to deterministically construct dyadic grids, specifically adapted to a given combinatorial situation. This method is used to estimate vector-valued operators rearranging martingale difference sequences such as the Haar system.Comment: 17 pages, 2 figure

    Alternative interpretations of hours information in an econometric model of labour supply

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    This paper examines the labour supply behaviour of married women in France. Estimating a model with tax parameter variation, careful re-examination of the treatment of the unearned income variable and taking account of education in modelling preferences result in substantially lower elasticities than found in our previous empirical analysis. It turns out that distinguishing between part-time, full-time and long hours gives virtually the same results as treating observed hours as reflecting desired hours. We provide extensive specification diagnostics, including Heckman-Andrews tests, as well as Hausman tests for the comparison of different handlings of the hours information. We also consider different assumptions concerning the perception of the impact of the tax system and provide some evidence in favour of a correct perception. --

    Uniform estimates for averages of order statistics of matrices

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    We prove uniform estimates for the expected value of averages of order statistics of matrices interms of their largest entries. As an application, we obtain similar probabilistic estimates for â„“p norms via real interpolation

    Alternative interpretations of hours information in an econometric model of labour supply

    Full text link
    This paper examines the labour supply behaviour of married women in France. Estimating a model with tax parameter variation, careful re-examination of the treatment of the unearned income variable and taking account of education in modelling preferences result in substantially lower elasticities than found in our previous empirical analysis. It turns out that distinguishing between part-time, full-time and long hours gives virtually the same results as treating observed hours as reflecting desired hours. We provide extensive specification diagnostics, including Heckman-Andrews tests, as well as Hausman tests for the comparison of different handlings of the hours information. We also consider different assumptions concerning the perception of the impact of the tax system and provide some evidence in favour of a correct perception
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