On coincidence results for summing multilinear operators: interpolation, \(\ell_1\)-spaces and cotype
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Publication:2173247
DOI10.1007/s13348-019-00261-6zbMath1446.46029arXiv1805.12500OpenAlexW2972070871MaRDI QIDQ2173247
Daniel M. Pellegrino, Frederic Bayart, Pilar Rueda
Publication date: 22 April 2020
Published in: Collectanea Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1805.12500
(Spaces of) multilinear mappings, polynomials (46G25) Variational and other types of inclusions (47J22)
Related Items (6)
Summability of the coefficients of a multilinear form ⋮ On the Maurey-Pisier and Dvoretzky-Rogers theorems ⋮ Large structures within the class of summing operators ⋮ Unified Grothendieck's and Kwapień's theorems for multilinear operators ⋮ Duality theory for generalized summing linear operators ⋮ Macphail's theorem revisited
Cites Work
- Cotype and absolutely summing linear operators
- Multiple summing maps: coordinatewise summability, inclusion theorems and \(p\)-Sidon sets
- Dominated bilinear forms and 2-homogeneous polynomials
- Coordinatewise multiple summing operators in Banach spaces
- On the interpolation of injective or projective tensor products of Banach spaces
- Multiple summing operators on Banach spaces.
- On the absolute convergence of Dirichlet series
- Fully, absolutely summing and Hilbert-Schmidt multilinear mappings
- Absolutely summing linear operators into spaces with no finite cotype
- Sharp generalizations of the multilinear Bohnenblust-Hille inequality
- One-sided interpolation of injective tensor products of Banach spaces
- Blei's inequality and coordinatewise multiple summing operators
- On cotype and a Grothendieck-type theorem for absolutely summing multilinear operators
- Optimal estimates for summing multilinear operators
- When every multilinear mapping is multiple summing
- Séries de variables aléatoires vectorielles indépendantes et propriétés géométriques des espaces de Banach
- Multilinear extensions of Grothendieck's theorem
- The sup‐norm vs. the norm of the coefficients: equivalence constants for homogeneous polynomials
- Some remarks on (p,q)-absolutely summing operators in $l_{p}$-spaces
- Absolutely summing operators in $ℒ_{p}$-spaces and their applications
- Absolute and unconditional convergence
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