Theory of Commuting Nonselfadjoint Operators
Considering integral transformations of Volterra type, F. Riesz and B. Sz.-Nagy no ticed in 1952 that [49]: "The existence of such a variety of linear transformations, having the same spectrum concentrated at a single point, brings out the difficulties of characterization of linear transformat...
| Main Authors: | , , , |
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| Format: | eBook |
| Language: | English |
| Published: |
Dordrecht
Springer Netherlands
1995, 1995
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| Edition: | 1st ed. 1995 |
| Series: | Mathematics and Its Applications
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- I Operator Vessels in Hilbert Space
- 1 Preliminary Results
- 2 Colligations and Vessels
- 3 Open Systems and Open Fields
- 4 The Generalized Cayley — Hamilton Theorem
- II Joint Spectrum and Discriminant Varieties of a Commutative Vessel
- 5 Joint Spectrum and the Spectral Mapping Theorem
- 6 Joint Spectrum of Commuting Operators with Compact Imaginary Parts
- 7 Properties of Discriminant Varieties of a Commutative Vessel
- III Operator Vessels in Banach Spaces
- 8 Operator Colligations and Vessels in Banach Space
- 9 Bezoutian Vessels in Banach Space
- IV Spectral Analysis of Two-Operator Vessels
- 10 Characteristic Functions of Two-Operator Vessels in a Hilbert Space
- 11 The Determinantal Representations and the Joint Characteristic Functions in the Case of Real Smooth Cubics
- 12 Triangular Models for Commutative Two Operator Vessels on Real Smooth Cubics
- References