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Matrices with Hyperbolical Krein Space Numerical Range

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arxiv 2407.03164 v2 pith:7Q5M7BS4 submitted 2024-07-03 math.FA

classification math.FA
keywords matriceshyperbolicalkreinnumericalrangeshapespaceby-2
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This paper is devoted to matrices with hyperbolical Krein space numerical range. This shape characterizes the 2-by-2 case and persists for certain classes of matrices, independently of their size. Ne\-cessary and sufficient conditions for low dimensional tridiagonal matrices to have this shape are obtained only involving the matrix entries

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