On the discriminant function of two commuting nonselfadjoint operators

DOI10.1007/BF01682873zbMath0441.47017MaRDI QIDQ1142971

Naftali Kravitsky

Publication date: 1980

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

discriminant functionSylvester and Bezoutian matrices

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60)

Related Items (13)

The theory of V-Bézoutians and its applications ⋮ Bezout operators for analytic operator functions. I: A general concept of Bezout operator ⋮ Matrix representations of Bezoutians ⋮ Generalized Bézoutian and matrix equations ⋮ Detecting rigid convexity of bivariate polynomials ⋮ Discriminant varieties and discriminant ideals for operator vessels in Banach space ⋮ Tangent spaces of rational matrix functions ⋮ A method for constructing triangular canonical models of commuting operators based on connections with algebraic curves ⋮ Functional models in linear algebra ⋮ A commutativity relation for submatrices of the inverse of a Sylvester matrix ⋮ On some resultant identities ⋮ Computing the common zeros of two bivariate functions via Bézout resultants ⋮ The Bezoutian and the eigenvalue-separation problem for matrix polynomials

Cites Work

• Operator waves in Hilbert space and related partial differential equations
• Bezoutiants, Elimination and Localization
• FOUNDATIONS OF ALGEBRAIC GEOMETRY
• Unnamed Item
• Unnamed Item

This page was built for publication: On the discriminant function of two commuting nonselfadjoint operators