The asymptotic growth of the constants in the Bohnenblust-Hille inequality is optimal

DOI10.1016/j.jfa.2012.04.014zbMath1252.46034arXiv1108.1550OpenAlexW2963558775MaRDI QIDQ442185

Juan B. Seoane-Sepúlveda, Daniel M. Pellegrino, Gustavo A. Muñoz-Fernández, Diogo Diniz Pereira da Silva e Silva

Publication date: 10 August 2012

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.1550

zbMATH Keywords

optimal constantsabsolutely summing operatorsBohnenblust-Hille inequalityasymptotic growth

Mathematics Subject Classification ID

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

Related Items (14)

Similarities and differences between real and complex Banach spaces: an overview and recent developments ⋮ Nonlinear absolutely summing operators revisited ⋮ Construction of an ordinary Dirichlet series with convergence beyond the Bohr strip ⋮ Extreme homogeneous trinomials on the unit square ⋮ Improving the closed formula for subpolynomial constants in the multilinear Bohnenblust-Hille inequalities ⋮ On the growth of the optimal constants of the multilinear Bohnenblust-Hille inequality ⋮ Sharp generalizations of the multilinear Bohnenblust-Hille inequality ⋮ The Bohnenblust-Hille cycle of ideas from a modern point of view ⋮ On the real polynomial Bohnenblust-Hille inequality ⋮ Lower bounds for the constants in the Bohnenblust–Hille inequality: The case of real scalars ⋮ A subexponential vector-valued Bohnenblust-Hille type inequality ⋮ Sharp values for the constants in the polynomial Bohnenblust-Hille inequality ⋮ Geometry of spaces of homogeneous trinomials on \(\mathbb{R}^2\) ⋮ Some applications of hypercontractive inequalities in quantum information theory

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unbounded violations of bipartite Bell inequalities via operator space theory
• The Bohnenblust-Hille inequality for homogeneous polynomials is hypercontractive
• New upper bounds for the constants in the Bohnenblust-Hille inequality
• Coordinatewise multiple summing operators in Banach spaces
• A new multilinear insight on Littlewood's 4/3-inequality
• H. Bohr's vision of ordinary Dirichlet series; old and new results
• On the absolute convergence of Dirichlet series
• Eigenvalue distribution of compact operators
• Estimates for the asymptotic behaviour of the constants in the Bohnenblust–Hille inequality
• The best constants in the Khintchine inequality
• Some results in the metric theory of tensor products
• Bohr’s power series theorem in several variables
• Multilinear extensions of Grothendieck's theorem
• Quotient Algebras of Uniform Algebras

This page was built for publication: The asymptotic growth of the constants in the Bohnenblust-Hille inequality is optimal