Generalizaton of Ky Fan-amir-moéz-horn-mirsky’s Result on the Eigenvalues and Real Singular Values of a Matrix
نویسنده
چکیده
Ky Fan’s result states that the real parts of the eigenvalues of an n × n complex matrix x are majorized by the eigenvalues of the Hermitian part of x. The converse was established by Amir-Moéz and Horn, and Mirsky, independently. We generalize the results in the context of complex semisimple Lie algebra. The real case is also discussed.
منابع مشابه
Construction of matrices with prescribed singular values and eigenvalues
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