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Unitary Dilations of Hilbert Space Operators and Related Topics

About this Title

B. Sz-Nagy

Publication: CBMS Regional Conference Series in Mathematics
Publication Year: 1974; Volume 19
ISBNs: 978-0-8218-1669-1 (print); 978-1-4704-2379-7 (online)
DOI: https://doi.org/10.1090/cbms/019

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Table of Contents

Front/Back Matter

Chapters

  • Isometric and unitary dilations of a contraction operator
  • Further properties of the minimal unitary dilation
  • Characteristic function and function model
  • Further comments on the characteristic function $\Theta _{T}(\lambda )$
  • Invariant subspaces and factorizations of the characteristic function
  • Commutative systems
  • Lifting of intertwining operators
  • Functional calculus for a contraction
  • Operators of class $C_0$ and the Jordan model
  • Examples of quasi-similarity and the class $N_T$ of functions