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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Bibliographic Details
Main Author: Kubrusly, Carlos S.
Format: eBook
Language:English
Published: Cham Springer International Publishing 2023, 2023
Edition:1st ed. 2023
Series:Universitext
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • 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