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Two-Dimensional Half-Strong Real Moment Problem and the Corresponding Block Matrices. Part II
Ukrainian Mathematical Journal ( IF 0.5 ) Pub Date : 2021-05-13 , DOI: 10.1007/s11253-021-01871-9 M. E. Dudkin , O. Yu. Dyuzhenkova
中文翻译:
二维半强实矩问题和相应的块矩阵。第二部分
更新日期:2021-05-13
Ukrainian Mathematical Journal ( IF 0.5 ) Pub Date : 2021-05-13 , DOI: 10.1007/s11253-021-01871-9 M. E. Dudkin , O. Yu. Dyuzhenkova
We describe the direct and inverse spectral problems for the block Jacobi type matrices corresponding to the two-dimensional half-strong real moment problem. In particular, we obtain three matrices with three-diagonal block structure acting in an l2-type space as commuting self-adjoint operators; moreover, two of these matrices are mutually inverse.
中文翻译:
二维半强实矩问题和相应的块矩阵。第二部分
我们描述了与二维半强实矩问题相对应的块Jacobi型矩阵的正谱和逆谱问题。特别地,我们获得了在l 2型空间中作为交换自伴算子的具有三对角块结构的三个矩阵。此外,这些矩阵中的两个互为逆。