Partial Inner Product Spaces : Theory and Applications

Partial Inner Product (PIP) Spaces are ubiquitous, e.g. Rigged Hilbert spaces, chains of Hilbert or Banach spaces (such as the Lebesgue spaces Lp over the real line), etc. In fact, most functional spaces used in (quantum) physics and in signal processing are of this type. The book contains a systema...

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Main Authors: Antoine, J-P., Trapani, Camillo (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2009, 2009
Edition:1st ed. 2009
Series:Lecture Notes in Mathematics
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • General Theory: Algebraic Point of View
  • General Theory: Topological Aspects
  • Operators on PIP-Spaces and Indexed PIP-Spaces
  • Examples of Indexed PIP-Spaces
  • Refinements of PIP-Spaces
  • Partial #x002A;-Algebras of Operators in a PIP-Space
  • Applications in Mathematical Physics
  • PIP-Spaces and Signal Processing