The symmetric Radon-Nikodým property for tensor norms

DOI10.1016/j.jmaa.2010.09.044zbMath1221.46020arXiv1005.2683OpenAlexW1982809977MaRDI QIDQ615923

Daniel Galicer, Daniel Carando

Publication date: 7 January 2011

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

Full work available at URL: https://arxiv.org/abs/1005.2683

zbMATH Keywords

Radon-Nikodým propertypolynomial idealsmetric theory of tensor productss-tensor norms

Mathematics Subject Classification ID

Spaces of operators; tensor products; approximation properties (46B28) Radon-Nikodým, Kre?n-Milman and related properties (46B22) Ideals of polynomials and of multilinear mappings in operator theory (47L22)

Related Items

Bases in the space of regular multilinear operators on Banach lattices ⋮ On norm-attainment in (symmetric) tensor products ⋮ Strongly mixing convolution operators on Fréchet spaces of holomorphic functions ⋮ Holomorphic functions and polynomial ideals on Banach spaces ⋮ Bases in the spaces of homogeneous polynomials and multilinear operators on Banach spaces ⋮ Dynamics of non-convolution operators and holomorphy types ⋮ Coincidence of extendible vector-valued ideals with their minimal kernel ⋮ Geometry of integral polynomials, \(M\)-ideals and unique norm preserving extensions

Cites Work

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• Natural symmetric tensor norms
• Extending polynomials in maximal and minimal ideals
• Tsirelson's space. With an appendix by J. Baker, O. Slotterbeck and R. Aron
• The Radon-Nikodym theorem for Banach space valued measures
• Duality in spaces of nuclear and integral polynomials
• Ideals of multilinear forms -- a limit order approach
• Isometries between spaces of homogeneous polynomials
• Centralisers of spaces of symmetric tensor products and applications
• Hilbertian operators and reflexive tensor products
• Schauder bases for symmetric tensor products
• Ultrastability of ideals of homogeneous polynomials and multilinear mappings on Banach spaces
• A property of multilinear operations
• Multilinear Mappings of Nuclear and Integral Type
• Extreme and exposed points of spaces of integral polynomials
• A construction of ℒ∞-spaces and related Banach spacesand related Banach spaces
• Extreme integral polynomials on a complex Banach space
• Geometric theory of spaces of integral polynomials and symmetric tensor products
• Minimal ideals of \(n\)-homogeneous polynomials on Banach spaces