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Theory of commuting nonselfadjoint operators by M.S. Livsic ... [et al.]. - Boston : Kluwer Academic Publishers, ©1995. - xvi, 313 p. : ill. ; 25 cm. - Mathematics and its applications ; v. 332 . - Mathematics and its applications (Kluwer Academic Publishers) ; v. 332. .

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

ISBN: 9789048145850

LCCN: 95000335

Subjects--Topical Terms:
Nonselfadjoint operators.

LC Class. No.: QA329.2 / .T52 1995

Dewey Class. No.: 515.72 / LIV-T