Deficiency numbers of operators generated by infinite Jacobi matrices
- 作者: Braeutigam I.1, Mirzoev K.2
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隶属关系:
- Northern (Arctic) Federal University
- Faculty of Mechanics and Mathematics
- 期: 卷 93, 编号 2 (2016)
- 页面: 170-174
- 栏目: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/223492
- DOI: https://doi.org/10.1134/S1064562416020137
- ID: 223492
如何引用文章
详细
New conditions for minimality, maximality, and nonmaximality of deficiency numbers of the minimal operator generated by the infinite Jacobi matrix with m × m matrix entries in the Hilbert space of mdimensional vectors are presented. Special attention is given to the case m = 1, i.e., to conditions on the elements of a tridiagonal numerical Jacobi matrix under which the determinate case of the classical power moment problem is realized.
作者简介
I. Braeutigam
Northern (Arctic) Federal University
编辑信件的主要联系方式.
Email: irinadolgih@rambler.ru
俄罗斯联邦, nab. Severnoi Dviny 17, Arkhangelsk, 163002
K. Mirzoev
Faculty of Mechanics and Mathematics
Email: irinadolgih@rambler.ru
俄罗斯联邦, Moscow, 119991