Non-Self-Adjoint Toeplitz Matrices Whose Principal Submatrices Have Real Spectrum
نویسندگان
چکیده
منابع مشابه
Non-Self-Adjoint Toeplitz Matrices Whose Principal Submatrices Have Real Spectrum
We introduce and investigate a class of complex semi-infinite banded Toeplitz matrices satisfying the condition that the spectra of their principal submatrices accumulate onto a real interval when the size of the submatrix grows to ∞. We prove that a banded Toeplitz matrix belongs to this class if and only if its symbol has real values on a Jordan curve located in C\{0}. Surprisingly, it turns ...
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ژورنال
عنوان ژورنال: Constructive Approximation
سال: 2017
ISSN: 0176-4276,1432-0940
DOI: 10.1007/s00365-017-9408-0