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Banach space sequences and projective tensor products.

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Publication:1868795
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DOI10.1016/S0022-247X(02)00635-2zbMath1043.46053MaRDI QIDQ1868795

Jan H. Fourie, Ilse M. Röntgen

Publication date: 28 April 2003

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


zbMATH Keywords

\((pvector-valued sequence spacesq)\)-summing multipliers


Mathematics Subject Classification ID

Tensor products in functional analysis (46M05)


Related Items (5)

On operator valued sequences of multipliers and \(R\)-boundedness ⋮ Representation of \(L^q(\mu)\hat {\otimes} X\) by vector-valued function spaces ⋮ Coincidence Results for Summing Multilinear Mappings ⋮ The Radon--Nikodym property for tensor products of Banach lattices ⋮ Multipliers and Hadamard products in the vector-valued setting




Cites Work

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  • (\(p\),\(q\))-summing sequences
  • Absolutely \(p\)-summing, \(p\)-nuclear operators and their conjugates
  • Observations About the Projective Tensor Product of Banach Spaces, II — Lp(0, 1) ⊗X, 1 <p< ∞
  • OBSERVATIONS ABOUT THE PROJECTIVE TENSOR PRODUCT OF BANACH SPACES, I—
  • On summing multipliers and applications




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