Summability and estimates for polynomials and multilinear mappings

DOI10.1016/S0019-3577(08)00007-4zbMath1197.46026MaRDI QIDQ2270517

Geraldo Botelho, Pilar Rueda, Daniel M. Pellegrino

Publication date: 28 July 2009

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

zbMATH Keywords

estimatescotypemultilinear mappingshomogeneous polynomialsabsolutely summing

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) Ideals of polynomials and of multilinear mappings in operator theory (47L22)

Related Items (6)

Absolutely summing multilinear operators on \(\ell_p\) spaces ⋮ Summing multilinear operators by blocks: the isotropic and anisotropic cases ⋮ Optimal estimates for summing multilinear operators ⋮ Summability of multilinear mappings: Littlewood, Orlicz and beyond ⋮ Multilinear variants of Maurey and Pietsch theorems and applications ⋮ Dominated polynomials on infinite dimensional spaces

Cites Work

• On tensor product characterization of nuclear spaces
• Strongly \(p\)-summing multilinear operators.
• Absolutely summing polynomials on Banach spaces with unconditional basis
• Estimates for absolutely summing norms of polynomials and multilinear maps
• Some results in the metric theory of tensor products
• Quotient Algebras of Uniform Algebras
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Summability and estimates for polynomials and multilinear mappings