Unconditional basis and Gordon-Lewis constants for spaces of polynomials

DOI10.1006/jfan.2000.3702zbMath0986.46031OpenAlexW2081183814MaRDI QIDQ5937642

Manuel Maestre, Andreas Defant, Domingo García, Juan Carlos Diaz

Publication date: 23 May 2002

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

Full work available at URL: https://doi.org/10.1006/jfan.2000.3702

zbMATH Keywords

Banach spacesunconditional basisTsirelson spaceGordon-Lewis propertyhomogeneous polynomialsuper-reflexive spacessymmetric tensor product

Mathematics Subject Classification ID

(Spaces of) multilinear mappings, polynomials (46G25) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Spaces of differentiable or holomorphic functions on infinite-dimensional spaces (46E50)

Related Items (23)

Polynomials on Banach spaces with unconditional bases ⋮ A logarithmic lower bound for multi-dimensional Bohr radii ⋮ Diagonals of injective tensor products of Banach lattices with bases ⋮ A tensor norm preserving unconditionality for $\mathcal{L}_p$-spaces ⋮ The Bohnenblust-Hille inequality for homogeneous polynomials is hypercontractive ⋮ The Bohnenblust-Hille cycle of ideas from a modern point of view ⋮ Atomic decompositions for tensor products and polynomial spaces ⋮ Bohr's strips for Dirichlet series in Banach spaces ⋮ On the polynomial Hardy-Littlewood inequality ⋮ Complex interpolation and summability properties of multilinear operators ⋮ Unconditionality for $m$-homogeneous polynomials on $\ell _{\infty }^{n}$ ⋮ Unbounded violation of tripartite Bell inequalities ⋮ Volume estimates in spaces of homogeneous polynomials ⋮ A new multilinear insight on Littlewood's 4/3-inequality ⋮ Convergence of Dirichlet polynomials in Banach spaces ⋮ Mixed Bohr radius in several variables ⋮ Domains of convergence for monomial expansions of holomorphic functions in infinitely many variables ⋮ The Bohr radius of the unit ball of ⋮ Remarks on an inequality of Hardy and Littlewood ⋮ Unconditional constants and polynomial inequalities ⋮ Schauder bases for symmetric tensor products ⋮ Lower bounds for the complex polynomial Hardy-Littlewood inequality ⋮ Cotype 2 estimates for spaces of polynomials on sequence spaces

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