Volume estimates in spaces of homogeneous polynomials

DOI10.1007/s00209-008-0358-xzbMath1171.46033OpenAlexW2089844308MaRDI QIDQ1006838

Christopher Prengel, Andreas Defant

Publication date: 26 March 2009

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-008-0358-x

zbMATH Keywords

asymptotic estimatesvolume estimatesisometric invariantsspaces of tensor products

Mathematics Subject Classification ID

Local theory of Banach spaces (46B07) (Spaces of) multilinear mappings, polynomials (46G25) Isometric theory of Banach spaces (46B04)

Related Items (6)

The Bohnenblust-Hille cycle of ideas from a modern point of view ⋮ Asymptotic estimates for the largest volume ratio of a convex body ⋮ The maximum entropy principle and volumetric properties of Orlicz balls ⋮ On the geometry of projective tensor products ⋮ A new multilinear insight on Littlewood's 4/3-inequality ⋮ Exact asymptotic volume and volume ratio of Schatten unit balls

Cites Work

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• Summing norms of identities between unitary ideals
• Random factorization of operators between Banach spaces
• On bounded multilinear forms on a class of \(l^ p \)spaces
• On the injective tensor product of quasinormable spaces
• Cotype 2 estimates for spaces of polynomials on sequence spaces
• Ratios of volumes and factorization through \(\ell_ \infty\)
• Domains of convergence for monomial expansions of holomorphic functions in infinitely many variables
• On the Banach-Mazur distance of finite-dimensional symmetric Banach spaces and the hypergeometric distribution
• Property (BB) and holomorphic functions on Fréchet-Montel spaces
• Bohrs power series theorem and local Banach space theory
• MAXIMUM MODULI OF UNIMODULAR POLYNOMIALS
• BILINEAR FORMS BOUNDED IN SPACE [p, q]
• Unconditionality in spaces of m-homogeneous polynomials
• Unconditional basis and Gordon-Lewis constants for spaces of polynomials

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