On the completely indeterminate case for block Jacobi matrices

Andrey 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 -