Dominated bilinear forms and 2-homogeneous polynomials

DOI10.2977/PRIMS/6zbMath1193.46027arXiv0905.2079OpenAlexW2964095424MaRDI QIDQ963072

Geraldo Botelho, Pilar Rueda, Daniel M. Pellegrino

Publication date: 8 April 2010

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.2079

zbMATH Keywords

cotype\(r\)-dominated homogeneous polynomial\(r\)-dominated multilinear formabsolutely (\(pq\))-summing mapping

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) Multilinear and polynomial operators (47H60)

Related Items (4)

An index of summability for pairs of Banach spaces ⋮ On coincidence results for summing multilinear operators: interpolation, \(\ell_1\)-spaces and cotype ⋮ Factorization of absolutely continuous polynomials ⋮ Factorization of \textit{p}-dominated polynomials through \({L}^p\)-spaces

Cites Work

• Pietsch's factorization theorem for dominated polynomials
• Extendibility of polynomials and analytic functions on l_p
• Scalar-valued dominated polynomials on Banach spaces
• Dominated polynomials on infinite dimensional spaces
• Inclusions and coincidences for multiple summing multilinear mappings
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