On generalized numerical range of the Al
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Masatoshi Ito; Hiroshi Nakazato; Kazuyoshi Okubo; Takeaki Yamazaki
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Article
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2003
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Elsevier Science
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English
β 130 KB
In this paper the authors show that the Aluthge transformation T of a matrix T and a polynomial f satisfy the inclusion relation W C (f ( T )) β W C (f (T )) for the generalized numerical range if C is a Hermitian matrix or a rank-one matrix.