Theory of commuting nonselfadjoint operators

Contributor(s):

Material type: Text

9789048145850

Subject(s):

Nonselfadjoint operators

DDC classification:

515.72 20 LIV-T

LOC classification:

QA329.2 .T52 1995

Online resources:

Contents:

PART 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

PART 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

PART III. Operator Vessels in Banach Spaces 8. Operator Colligations and Vessels in Banach Space 9. Bezoutian Vessels in Banach Space

PART IV. Spectral Analysis of Two-Operator Vessels 10. Characteristic Functions of Two-Operator Vessels in a Hilbert Space 11. 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

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Holdings
Item type	Current library	Collection	Call number	Status	Date due	Barcode	Item holds
Books	IIITD Reference	Mathematics	REF 515.72 LIV-T (Browse shelf(Opens below))	Not for loan		013875

Total holds: 0

Includes bibliographical references (p. 303-306) and index.

PART 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

PART 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

PART III. Operator Vessels in Banach Spaces
8. Operator Colligations and Vessels in Banach Space
9. Bezoutian Vessels in Banach Space

PART IV. Spectral Analysis of Two-Operator Vessels
10. Characteristic Functions of Two-Operator Vessels in a Hilbert Space
11. 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

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