On the completely indeterminate case for block Jacobi matrices

• Autorzy: Andrey Osipov
• Języki publikacji: EN

Abstrakty

EN

We consider the infinite Jacobi block matrices in the completely indeterminate case, i. e. such that the deficiency indices of the corresponding Jacobi operators are maximal. For such matrices, some criteria of complete indeterminacy are established. These criteria are similar to several known criteria of indeterminacy of the Hamburger moment problem in terms of the corresponding scalar Jacobi matrices and the related systems of orthogonal polynomials.

Słowa kluczowe

EN

Jacobi matrices; Difference equations; Moment problem; Orthogonal polynomials

Kategorie tematyczne

• 47B39: Difference operators
• 39A70: Difference operators
• 47A10: Spectrum, resolvent

• Wydawca: De Gruyter Open
• Czasopismo: Concrete Operators
• Rocznik: 2017
• Tom: 4
• Numer: 1
• Strony: 48-57

Daty

wydano

2017-01-26

otrzymano

2016-08-31

zaakceptowano

2017-05-08

online

2017-06-01

Twórcy

autor

Andrey Osipov

• 117218,

Identyfikatory

DOI

10.1515/conop-2017-0005