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On infinite bounded-Toeplitz extensions of Toeplitz matrices. (Russian, English) Zbl 1073.15525

Zap. Nauchn. Semin. POMI 309, 30-39, 190 (2004); translation in J. Math. Sci., New York 132, No. 2, 160-165 (2006).
Summary: Infinite limited Toeplitz extensions of a finite rectangular Toeplitz matrix are considered. Conditions necessary and sufficient for such an extension of smallest rank to be unique are given.

MSC:

15B57 Hermitian, skew-Hermitian, and related matrices
15A03 Vector spaces, linear dependence, rank, lineability