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Unitary Dilations of Hilbert Space Operators and Related Topics
B. Sz.-Nagy
A co-publication of the AMS and CBMS.
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CBMS Regional Conference Series in Mathematics
1974; 54 pp; softcover
Number: 19
Reprint/Revision History:
reprinted with corrections 1982; third printing 2001
ISBN-10: 0-8218-1669-1
ISBN-13: 978-0-8218-1669-1
List Price: US$26
Member Price: US$20.80
All Individuals: US$20.80
Order Code: CBMS/19
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Reviews

"A good introduction for the reader before taking on the book by C. Foiaş and the author Harmonic Analysis of Operators on Hilbert Space, North- Holland, 1970]."

-- R. G. Douglas, Mathematical Reviews

Table of Contents

  • 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 \(\Phi_T(\lambda)\)
  • 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
  • References
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