Symmetry of cyclic weighted shift matrices with pivot-reversible weights. (English) Zbl 1432.15010
Summary: We prove that every cyclic weighted shift matrix with pivot-reversible weights is unitarily similar to a complex symmetric matrix.
MSC:
| 15A21 | Canonical forms, reductions, classification |
| 15A60 | Norms of matrices, numerical range, applications of functional analysis to matrix theory |
| 47B37 | Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) |
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