Unconditionality for $m$-homogeneous polynomials on $\ell _{\infty }^{n}$

DOI10.4064/sm8386-2-2016zbMath1352.46043OpenAlexW2501244213MaRDI QIDQ2804308

Andreas Defant, Pablo Sevilla-Peris

Publication date: 28 April 2016

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/sm8386-2-2016

zbMATH Keywords

tensor producthomogeneous polynomialsBohr radiusgrowth of unconditional basis constantspaces of \(n\)-linear mappings

Mathematics Subject Classification ID

Spaces of operators; tensor products; approximation properties (46B28) (Spaces of) multilinear mappings, polynomials (46G25) Isometric theory of Banach spaces (46B04)

Related Items (1)

Bohr's phenomenon for functions on the Boolean cube

Cites Work

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• The Bohr radius of the \(n\)-dimensional polydisk is equivalent to \(\sqrt{(\log n) / n}\)
• The Bohnenblust-Hille inequality for homogeneous polynomials is hypercontractive
• Unconditionality in tensor products
• On the absolute convergence of Dirichlet series
• MAXIMUM MODULUS OF RANDOM POLYNOMIALS
• Bohrs power series theorem and local Banach space theory
• Unconditional basis and Gordon-Lewis constants for spaces of polynomials

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