Essentially hermitian matrices and inclusion relations of <i>C</i>-numerical ranges
نویسندگان
چکیده
منابع مشابه
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Notions of numerical ranges and joint numerical ranges of octonion matrices are introduced. Various properties of hermitian octonion matrices related to eigenvalues and convex cones, such as the convex cone of positive semidefinite matrices, are described. As an application, convexity of joint numerical ranges of 2×2 hermitian matrices is characterized. Another application involves existence of...
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Notions of numerical ranges and joint numerical ranges of octonion matrices are introduced. Various properties of hermitian octonion matrices related to eigenvalues and convex cones, such as the convex cone of positive semidefinite matrices, are described. As an application, convexity of joint numerical ranges of 2×2 hermitian matrices is characterized. Another application involves existence of...
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ژورنال
عنوان ژورنال: Operators and Matrices
سال: 2009
ISSN: 1846-3886
DOI: 10.7153/oam-03-21