Almost \(p\)-summing polynomials and multilinear mappings

DOI10.1007/s000130050550zbMath0992.46037OpenAlexW1996948618MaRDI QIDQ5932156

Heinz Junek, Geraldo Botelho, Hans-Andreas Braunß\

Publication date: 18 September 2001

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000130050550

zbMATH Keywords

Rademacher functions\({\mathcal L}_\infty\)-spacesalmost \(p\)-summing \(n\)-homogeneous polynomialsalmost summing operatorsfactorization methodinjective maximal Banach operator ideallinearization methodscales of related \(n\)-linear mappings and \(n\)-homogeneous polynomialsunconditionally \(p\)-summable sequences

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Local theory of Banach spaces (46B07) Classical Banach spaces in the general theory (46B25) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) (Spaces of) multilinear mappings, polynomials (46G25) Banach sequence spaces (46B45) Spaces of differentiable or holomorphic functions on infinite-dimensional spaces (46E50) Multilinear and polynomial operators (47H60) Operator ideals (47L20)

Related Items (17)

On the transformation of vector-valued sequences by linear and multilinear operators ⋮ On almost summing polynomials and multilinear mappings ⋮ Nonlinear variants of a theorem of Kwapień ⋮ Absolutely summing multilinear operators on \(\ell_p\) spaces ⋮ Summing multilinear operators by blocks: the isotropic and anisotropic cases ⋮ On summability of nonlinear operators ⋮ Mixing multilinear operators with or without a linear analogue ⋮ Absolutely \({\gamma}\)-summing multilinear operators ⋮ Strongly almost summing holomorphic mappings. ⋮ Coincidence Results for Summing Multilinear Mappings ⋮ Techniques to generate hyper-ideals of multilinear operators ⋮ On multi-ideals and polynomial ideals of Banach spaces: a new approach to coherence and compatibility ⋮ Almost summing and multiple almost summing multilinear operators on \(l_p\) spaces ⋮ A characterization of type 2 spaces ⋮ Fully and strongly almost summing multilinear mappings ⋮ Some properties of almost summing operators ⋮ Generalized multiple summing multilinear operators on Banach spaces

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