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Operator Space Tensor Norms

This book provides a comprehensive introduction to the systematic theory of tensor products and tensor norms within the framework of operator spaces. The use of tensor products has significantly advanced functional analysis and other areas of mathematics and physics, and the field of operator spaces...

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Bibliografiske detaljer
Main Authors: Chávez-Domínguez, Javier Alejandro (Author), Dimant, Verónica (Author), Galicer, Daniel (Author)
Institution som forfatter: SpringerLink (Online service)
Format: Electronisk eBog
Sprog:engelsk
Udgivet: Cham : Springer Nature Switzerland : Imprint: Springer, 2025.
Udgivelse:1st ed. 2025.
Serier:Lecture Notes in Mathematics, 2379
Fag:
Operator theory.
Functional analysis.
Operator Theory.
Functional Analysis.
Online adgang:https://doi.org/10.1007/978-3-031-96209-7
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Indholdsfortegnelse:
  • Chapter 1. Preliminaries
  • Chapter 2. Introduction to operator space tensor norms
  • Chapter 3. Finite and cofinite hulls
  • Chapter 4. The five basic lemmas
  • Chapter 5. Dual operator space tensor norms
  • Chapter 6. The completely bounded approximation property
  • Chapter 7. Mapping ideals
  • Chapter 8. Maximal operator space mapping ideals
  • Chapter 9. Minimal operator space mapping ideals
  • Chapter 10. Completely projective/injective tensor norms
  • Chapter 11. Injective/projective hulls and accessibility
  • Chapter 12. Natural operator space tensor norms
  • Chapter 13. Conclusions and some open questions.

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