# On the completely indeterminate case for block Jacobi matrices

Concrete Operators (2017)

- Volume: 4, Issue: 1, page 48-57
- ISSN: 2299-3282

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topAndrey Osipov. "On the completely indeterminate case for block Jacobi matrices." Concrete Operators 4.1 (2017): 48-57. <http://eudml.org/doc/288580>.

@article{AndreyOsipov2017,

abstract = {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.},

author = {Andrey Osipov},

journal = {Concrete Operators},

keywords = {Jacobi matrices; Difference equations; Moment problem; Orthogonal polynomials},

language = {eng},

number = {1},

pages = {48-57},

title = {On the completely indeterminate case for block Jacobi matrices},

url = {http://eudml.org/doc/288580},

volume = {4},

year = {2017},

}

TY - JOUR

AU - Andrey Osipov

TI - On the completely indeterminate case for block Jacobi matrices

JO - Concrete Operators

PY - 2017

VL - 4

IS - 1

SP - 48

EP - 57

AB - 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.

LA - eng

KW - Jacobi matrices; Difference equations; Moment problem; Orthogonal polynomials

UR - http://eudml.org/doc/288580

ER -

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