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Dominated polynomials on \({\mathcal L}_p\)-spaces

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Publication:704952
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DOI10.1007/s00013-004-1035-xzbMath1064.46027OpenAlexW1979996754MaRDI QIDQ704952

Daniel M. Pellegrino, Geraldo Botelho

Publication date: 20 January 2005

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-004-1035-x


zbMATH Keywords

\((r\(r\)-dominated polynomials\(r\)-semi-integral polynomialsabsolutely \((rq)\)-summing multilinear mappingsq)\)-summing polynomials


Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) (Spaces of) multilinear mappings, polynomials (46G25)


Related Items (6)

\((p,q)\)-dominated multilinear operators and Lapresté tensor norms ⋮ Pietsch's factorization theorem for dominated polynomials ⋮ On composition ideals of multilinear mappings and homogeneous polynomials ⋮ On the multilinear generalizations of the concept of absolutely summing operators ⋮ Factorization of absolutely continuous polynomials ⋮ Factorization of \textit{p}-dominated polynomials through \({L}^p\)-spaces




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