Reverse inclusions for multiple summing operators

DOI10.1016/j.jmaa.2008.09.043zbMath1154.47014OpenAlexW2032087210MaRDI QIDQ2517703

Dumitru Popa

Publication date: 8 January 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.09.043

zbMATH Keywords

multilinear operator\((q, p)\)-summing operatormultiple \((q, p)\)-summing operatorRademacher mean

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) (Spaces of) multilinear mappings, polynomials (46G25) Multilinear and polynomial operators (47H60)

Related Items (17)

Nonlinear absolutely summing operators revisited ⋮ Direct and reverse inclusions for strongly multiple summing operators ⋮ On the Maurey-Pisier and Dvoretzky-Rogers theorems ⋮ Corrigendum to ``Multiple Rademacher means and their applications ⋮ Multiple Rademacher means and their applications ⋮ On multi-ideals and polynomial ideals of Banach spaces: a new approach to coherence and compatibility ⋮ \((q;r)\)-dominated holomorphic mappings ⋮ Hilbert-Schmidt and multiple summing operators ⋮ Multiple summing, dominated and summing operators on a product of \(l_1\) spaces ⋮ Multilinear variants of Maurey and Pietsch theorems and applications ⋮ Complex interpolation and summability properties of multilinear operators ⋮ Positive multiple summing and concave multilinear operators on Banach lattices ⋮ Coordinatewise multiple summing operators in Banach spaces ⋮ Dominated polynomials on infinite dimensional spaces ⋮ The best constants in the multiple Khintchine inequality ⋮ An integral formula for multiple summing norms of operators ⋮ Multiple summability properties for Cohen ‐summing operators

Cites Work

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• Bohr's strip for vector valued Dirichlet series
• Multiple summing operators on Banach spaces.
• Fully, absolutely summing and Hilbert-Schmidt multilinear mappings
• Hahn-Banach extension of multilinear forms and summability
• Unbounded violation of tripartite Bell inequalities
• A tensor norm preserving unconditionality for $\mathcal{L}_p$-spaces
• Multilinear extensions of Grothendieck's theorem
• The inclusion theorem for multiple summing operators

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