Bilinear Maps and Tensor Products in Operator Theory

This text covers a first course in bilinear maps and tensor products intending to bring the reader from the beginning of functional analysis to the frontiers of exploration with tensor products. Tensor products, particularly in infinite-dimensional normed spaces, are heavily based on bilinear maps....

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Bibliografische gegevens
Hoofdauteur: Kubrusly, Carlos S. (Auteur)
Coauteur: SpringerLink (Online service)
Formaat: Elektronisch E-boek
Taal:Engels
Gepubliceerd in: Cham : Springer International Publishing : Imprint: Springer, 2023.
Editie:1st ed. 2023.
Reeks:Universitext,
Onderwerpen:
Online toegang:https://doi.org/10.1007/978-3-031-34093-2
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Inhoudsopgave:
  • Preface
  • 1. Linear-Space Results
  • 2. Bilinear Maps: Algebraic Aspects
  • 3. Algebraic Tensor Product
  • 4. Interpretations
  • 5. Normed-Space Results
  • 6. Bounded Bilinear Maps
  • 7. Norms on Tensor Products
  • 8. Operator Norms
  • 9. Tensor Product Operators
  • References
  • List of Symbols
  • Index.