Cotype 2 estimates for spaces of polynomials on sequence spaces

DOI10.1007/BF02773168zbMath1009.46032OpenAlexW2064116667MaRDI QIDQ1601479

Pablo Sevilla-Peris, Manuel Maestre, Andreas Defant

Publication date: 14 April 2003

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02773168

zbMATH Keywords

tensor productspolynomials on Banach spacesOrlicz spacesKöthe function spacesLorentz spacestopology of uniform convergence on bounded subsets\(\ell_p\) spaces\(r\)-convex spaces\(s\)-concave spacesspaces with cotype 2symmetric Banach sequence spaces

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) (Spaces of) multilinear mappings, polynomials (46G25)

Related Items (5)

The Bohnenblust-Hille cycle of ideas from a modern point of view ⋮ Bohrs power series theorem and local Banach space theory ⋮ Volume estimates in spaces of homogeneous polynomials ⋮ A new multilinear insight on Littlewood's 4/3-inequality ⋮ Local complementation and the extension of bilinear mappings

Cites Work

• A factorization theorem in Banach lattices and its application to Lorentz spaces
• Absolutely summing operators and local unconditional structures
• Type and cotype of Musielak-Orlicz sequence spaces
• Eigenvalue distribution of compact operators
• Interpolation of real method spaces via some ideals of operators
• A Dvoretzky Theorem for Polynomials
• Unconditional basis and Gordon-Lewis constants for spaces of polynomials
• Asymptotic estimates for approximation quantities of tensor product identities
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