Linear operators preserving the decomposable numerical range |
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Authors: | Marvin Marcus Ivan Filippenko |
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Institution: |
a Institute of Algebra and Combinatorics, University of California, Santa Barbara |
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Abstract: | Multilinear techniques are used to characterize unitary matrices in terms of a generalized numerical range. This characterization is then applied to analyze the structure of all linear operators on matrices which preserve this numerical range. The results generalize V. J. Pellegrini's determination of all linear operators preserving the classical numerical range. |
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Keywords: | AMS (MOS) subject classification (1970): Primary 15A63 15A69 Secondary 15A75 |
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