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Spectral properties of block Jacobi matrices. (arXiv:1705.06138v1 [math.SP])

来源于:arXiv
We study the spectral properties of bounded and unbounded Jacobi matrices whose entries are bounded operators on possibly infinite dimensional complex Hilbert space. In particular, we formulate conditions assuring that the spectrum of the studied operators is continuous. Uniform asymptotics of generalized eigenvectors and conditions implying complete indeterminacy are also provided. 查看全文>>