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Remarks on numerical ranges of operators in spaces with an indefinite metric
Authors:Chi-Kwong Li  Leiba Rodman
Institution:Department of Mathematics, The College of William and Mary, Williamsburg, Virginia 23187 ; Department of Mathematics, The College of William and Mary, Williamsburg, Virginia 23187
Abstract:The numerical range of an operator on an indefinite inner product space (possibly infinite dimensional) is studied. In particular, operators having bounded numerical ranges are characterized, and the angle points of the numerical range and their connections with eigenvalues are described.

Keywords:Numerical range  indefinite scalar product  Krein space  
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