Schauder bases for symmetric tensor products

DOI10.2977/prims/1145475364zbMath1098.46017OpenAlexW2029839905MaRDI QIDQ2574366

Raymond A. Ryan, Bogdan C. Grecu

Publication date: 21 November 2005

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1145475364

zbMATH Keywords

Schauder basissymmetric tensor producttensor product

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Spaces of operators; tensor products; approximation properties (46B28) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items (7)

Bases in spaces of homogeneous polynomials on Banach spaces ⋮ Diagonals of injective tensor products of Banach lattices with bases ⋮ The symmetric Radon-Nikodým property for tensor norms ⋮ On positive tensor products of \(\ell_p\)-spaces ⋮ Atomic decompositions for tensor products and polynomial spaces ⋮ Bases in the spaces of homogeneous polynomials and multilinear operators on Banach spaces ⋮ Coincidence of extendible vector-valued ideals with their minimal kernel

Cites Work

• Bases of tensor products of Banach spaces
• Unconditionality in tensor products
• Bases in spaces of multilinear forms over Banach spaces
• Banach subspaces of holomorphic functions and related topics
• The main triangle projection in matrix spaces and its applications
• Unconditional basis and Gordon-Lewis constants for spaces of polynomials
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