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Regularity of continuous multilinear operators and homogeneous polynomials - MaRDI portal

Regularity of continuous multilinear operators and homogeneous polynomials (Q2063653)

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scientific article; zbMATH DE number 7455550
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Regularity of continuous multilinear operators and homogeneous polynomials
scientific article; zbMATH DE number 7455550

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    Regularity of continuous multilinear operators and homogeneous polynomials (English)
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    11 January 2022
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    The author extends to the case of multilinear operators and homogeneous polynomials the results about the regularity of continuous operators of [\textit{J.~Synnatzschke}, Vestn. Leningr. Univ., Mat. Mekh. Astron. 1972, No.~1, 60--69 (1972; Zbl 0234.47035); \textit{Y.~A. Abramovich} and \textit{A.~W. Wickstead}, Indag. Math., New Ser. 8, No.~3, 281--294 (1997; Zbl 0908.47031)]. The research utilizes the technique of the Fremlin tensor product.
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    Banach lattice
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    Levi property
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    multilinear operator
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    homogeneous polynomial
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    Fremlin tensor product
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    linearization
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