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Duals of tensor products

Part of the Lecture Notes in Mathematics book series (LNM,volume 604)

Abstract

A number of tensor norms α for which the duality relation \((E\mathop \otimes \limits^\alpha F)' = E'\mathop \otimes \limits^{\alpha '} F')\)holds are described. This duality is used to investigate weak sequential completeness and reflexivity in tensor products.

Keywords

  • Tensor Product
  • Integral Operator
  • Duality Relation
  • Unconditional Basis
  • Tensor Norm

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Research partially supported by NSF MCS 75-06948 A02.

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© 1977 Springer-Verlag

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Lewis, D.R. (1977). Duals of tensor products. In: Baker, J., Cleaver, C., Diestel, J. (eds) Banach Spaces of Analytic Functions. Lecture Notes in Mathematics, vol 604. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0069206

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  • DOI: https://doi.org/10.1007/BFb0069206

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08356-6

  • Online ISBN: 978-3-540-37262-2

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