Linear operators on matrices: The invariance of the decomposable numerical range. II (Q1090738)
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scientific article; zbMATH DE number 4008585
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Linear operators on matrices: The invariance of the decomposable numerical range. II |
scientific article; zbMATH DE number 4008585 |
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Linear operators on matrices: The invariance of the decomposable numerical range. II (English)
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1987
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The author defines a rather general concept of numerical range and characterizes the linear operators on the matrix algebra which leave it invariant for each matrix. The conclusion is analogous to those obtained by \textit{M. Marcus} and \textit{I. Filippenko} [Linear Multilinear Algebra 7, 27-36 (1979; Zbl 0399.15013)], \textit{V. J. Pellegrini} [Stud. Math. 54, 143-147 (1975; Zbl 0314.47002)] and the author in part I [Linear Algebra Appl. 85, 1-7 (1987; Zbl 0612.15019)].
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decomposable numerical range
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linear operators on the matrix algebra
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invariant
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