Conditions for the generalized numerical range to be real |
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| Authors: | Marvin Marcus Markus Sandy |
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| Affiliation: | Department of Mathematics and Department of Computer Science Institute for the Interdisciplinary Applications of Algebra and Combinatorics University of California at Santa Barbara Santa Barbara, California 93106, USA;Department of Mathematics Institute for the Interdisciplinary Applications of Algebra and Combinatorics University of California at Santa Barbara Santa Barbara, California 93106, USA |
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| Abstract: | ![]()
Necessary and sufficient conditions are given for the C-numerical range of a matrix A to be a subset of the real axis. In particular, it is shown that both A and C must be translates of hermitian matrices. |
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