Book contents
- Frontmatter
- Contents
- Preface
- Acknowledgments
- 1 Introduction
- 2 Formal Reproducing Kernel Hilbert Spaces
- 3 Contractive Multipliers
- 4 Stein Relations and Observability Range Spaces
- 5 Beurling–Lax Theorems Based on Contractive Multipliers
- 6 Non-orthogonal Beurling–Lax Representations Based on Wandering Subspaces
- 7 Orthogonal Beurling–Lax Representations Based on Wandering Subspaces
- 8 Models for ω-Hypercontractive Operator Tuples
- 9 Weighted Hardy–Fock Spaces Built from a Regular Formal Power Series
- References
- Notation Index
- Subject Index
6 - Non-orthogonal Beurling–Lax Representations Based on Wandering Subspaces
Published online by Cambridge University Press: 09 December 2021
Book contents
- Frontmatter
- Contents
- Preface
- Acknowledgments
- 1 Introduction
- 2 Formal Reproducing Kernel Hilbert Spaces
- 3 Contractive Multipliers
- 4 Stein Relations and Observability Range Spaces
- 5 Beurling–Lax Theorems Based on Contractive Multipliers
- 6 Non-orthogonal Beurling–Lax Representations Based on Wandering Subspaces
- 7 Orthogonal Beurling–Lax Representations Based on Wandering Subspaces
- 8 Models for ω-Hypercontractive Operator Tuples
- 9 Weighted Hardy–Fock Spaces Built from a Regular Formal Power Series
- References
- Notation Index
- Subject Index
Summary
Chapter 6 deals with two flavors of Beurling–Lax representations which have been studied in the context of Bergman spaces: (i) a Beurling–Lax-type representation based on the shift-invariant subspace being generated by a so-called quasi-wandering subspace, and (ii) a Beurling–Lax representation based on the shift-invariant subspace being generated (but non-orthogonally) by its canonically defined wandering subspace.
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- Publisher: Cambridge University PressPrint publication year: 2021