Factorization and model theory for contraction operators with unitary part / [electronic resource] Joseph A. Ball.

By: Ball, Joseph A, 1947-Material type: TextTextSeries: Memoirs of the American Mathematical Society ; no. 198.Publication details: Providence : American Mathematical Society, 1978Description: 1 online resource (iii, 68 p.)ISBN: 9781470402037 (online)Subject(s): Contraction operators | Factorization of operators | Model theory | Hilbert spaceAdditional physical formats: Factorization and model theory for contraction operators with unitary part /DDC classification: 510/.8 s | 515/.72 LOC classification: QA3 | .A57 no. 198 | QA329.2Online resources: Contents | Contents
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 $T_u$ 7. A perturbation problem: the operator $L = U(I-L_0)$ 8. Multiplicity theory for $U$ 9. Comparison of $U_{ac}$ with $L_u$ 10. Concluding remarks
Item type: E-BOOKS
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"Volume 13, issue 1."

Bibliography: p. 68.

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 $T_u$ 7. A perturbation problem: the operator $L = U(I-L_0)$ 8. Multiplicity theory for $U$ 9. Comparison of $U_{ac}$ with $L_u$ 10. Concluding remarks

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

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