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Factorization and Model Theory for Contraction Operators with Unitary Part.

By: Material type: TextTextSeries: Memoirs of the American Mathematical SocietyPublisher: Providence : American Mathematical Society, 1978Copyright date: ©1978Edition: 1st edDescription: 1 online resource (78 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781470402037
Subject(s): Genre/Form: Additional physical formats: Print version:: Factorization and Model Theory for Contraction Operators with Unitary PartDDC classification:
  • 510/.8 s;515/.72
LOC classification:
  • QA329.2 -- .B35 1978eb
Online resources:
Contents:
Intro -- Table of Contents -- Introduction -- 1. Function models for completely nonunitary contractions -- 2. Function models for unitary operators -- 3. Factorization and invariant subspaces -- 4. Operator nodes and characteristic functions -- 5. Factorization of nodes and invariant subspaces -- 6. Spectral invariants for T[sub(u)] -- 7. A perturbation problem: the operator L = U(I-L[sub(0)]) -- 8. Multiplicity theory for U -- 9. Comparison of U[sub(ac)] with L[sub(u)] -- 10. Concluding remarks -- References.
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Intro -- Table of Contents -- Introduction -- 1. Function models for completely nonunitary contractions -- 2. Function models for unitary operators -- 3. Factorization and invariant subspaces -- 4. Operator nodes and characteristic functions -- 5. Factorization of nodes and invariant subspaces -- 6. Spectral invariants for T[sub(u)] -- 7. A perturbation problem: the operator L = U(I-L[sub(0)]) -- 8. Multiplicity theory for U -- 9. Comparison of U[sub(ac)] with L[sub(u)] -- 10. Concluding remarks -- References.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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