Bases in the spaces of homogeneous polynomials and multilinear operators on Banach spaces

DOI10.1216/RMJ-2019-49-6-1829zbMath1446.46030OpenAlexW2985558991MaRDI QIDQ2008581

Donghai Ji, Qingying Bu

Publication date: 26 November 2019

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1572746420

zbMATH Keywords

multilinear operatorsmonomial basessymmetric tensor productshomogeneous polynomials

Mathematics Subject Classification ID

Spaces of operators; tensor products; approximation properties (46B28) (Spaces of) multilinear mappings, polynomials (46G25) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Tensor products in functional analysis (46M05)

Cites Work

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• The symmetric Radon-Nikodým property for tensor norms
• Polynomials on Banach lattices and positive tensor products
• Coincidence of extendible vector-valued ideals with their minimal kernel
• Bases in spaces of homogeneous polynomials on Banach spaces
• Weakly continuous mappings on Banach spaces
• Bases in spaces of multilinear forms over Banach spaces
• Schauder bases for symmetric tensor products
• Linearization of Bounded Holomorphic Mappings on Banach Spaces
• Polynomial approximation of differentiable functions on Banach spaces.
• Banach subspaces of holomorphic functions and related topics
• Block diagonal polynomials
• Diagonals of projective tensor products and orthogonally additive polynomials
• Unconditionality in spaces of m-homogeneous polynomials

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