On the determinacy of complex Jacobi matrices | Zendy

Bernhard Beckermann | Zendy; M. M. Castro | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

On the determinacy of complex Jacobi matrices

Author(s) -

Bernhard Beckermann,

M. M. Castro

Publication year - 2004

Publication title -

mathematica scandinavica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.553

H-Index - 30

eISSN - 1903-1807

pISSN - 0025-5521

DOI - 10.7146/math.scand.a-14460

Subject(s) - determinacy , mathematics , indeterminacy (philosophy) , uniqueness , bounded function , moment (physics) , pure mathematics , algebra over a field , mathematical analysis , physics , classical mechanics , quantum mechanics

The aim of this paper is to explore to which extend the theory of the Hamburger moment problem for real Jacobi matrices generalizes to the case of complex Jacobi matrices. In particular, we characterize the indeterminacy in terms of uniqueness of closed extensions of Jacobi matrices, and discuss the link to the growth of the smallest singular values of the underlying Hankel matrices. As a byproduct, we give a positive answer to the open question whether determinacy is preserved under bounded perturbations.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research