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Browsing by Subject "Compact operator"

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Browsing by Subject "Compact operator"

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    Absolutely continuous multilinear operators 
    Dahia, E.; Achour, D.; Sánchez Pérez, Enrique Alfonso (Elsevier, 2013-01)
    We introduce the new class of the (p;p1,...,pm; s)-absolutely continuous operators, that is defined using a summability property that provides the multilinear version of the (p, s)-absolutely continuous operators. We give ...
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    Factorization of operators through subspaces of L-1-spaces 
    Calabuig, J. M.; Rodríguez, José; Sánchez Pérez, Enrique Alfonso (Cambridge University Press, 2017-12)
    [EN] We analyze domination properties and factorization of operators in Banach spaces through subspaces of L1-spaces. Using vector measure integration and extending classical arguments based on scalar integral bounds, we ...
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    Mean ergodicity and spectrum of the Cesàro operator on weighted c0 spaces 
    Albanese, Angela A.; Bonet Solves, José Antonio; Ricker, Werner J. (Springer-Verlag, 2016)
    [EN] A detailed investigation is made of the continuity, the compactness and the spectrum of the Cesàro operator C acting on the weighted Banach sequence space c0(w) for a bounded, strictly positive weight w. New features ...
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    Multiplier and averaging operators in the Banach spaces ces(p), 1<p< infty 
    Albanese, Angela A.; Bonet Solves, José Antonio; Ricker, Werner J. (Springer-Verlag, 2019-02)
    [EN] The Banach sequence spaces ces(p) are generated in a specified way via the classical spaces p,1<p<. For each pair 1<p,q< the (p,q)-multiplier operators from ces(p) into ces(q) are known. We determine precisely which ...
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    Spectrum and compactness of the Cesàro operator on weighted l_p spaces 
    Albanese, Angela; Bonet Solves, José Antonio; Ricker, Werner J. (Cambridge University Press, 2015)
    [EN] An investigation is made of the continuity, the compactness and the spectrum of the Ces`aro operator C when acting on the weighted Banach sequence spaces l_p(w), 1 < p < 1, for a positive decreasing weight w, thereby ...
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    The Cesàro operator on weighted l_1 spaces 
    Albanese, Angela; Bonet Solves, José Antonio; Ricker, W. (John Wiley & Sons, 2018)
    [EN] Unlike for l(p), 1 < p <= infinity, the discrete Cesaro operator C does not map l(1) into itself. We identify precisely those weights w such that C does map l(1)(w) continuously into itself. For these weights a complete ...