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The problem of unitary equivalence. (English) Zbl 0045.29705


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[1] Hua, L. K. The orthogonal classification of hermitian matrices. American Mathematical Society Transactions 59 (1946), pp. 508–523. · Zbl 0060.03502 · doi:10.1090/S0002-9947-1946-0015359-9
[2] Specht, W. Zur Theorie der Matrizen. Jahresbericht der Deutschen Mathematiker-Vereinigung 46 (1936), pp. 45–50. · Zbl 0014.19504
[3] Brenner, J. Right-multiplication by a unitary matrix. Notae. Mathematicae 1950. · Zbl 0041.15901
[4] See alsoIngraham, M., andWegner, K. W..The equivalence of pairs of hermitian matrices. Trans. Amer. Math. Soc. 38 (1935) pp. 145–162. · JFM 61.0992.02 · doi:10.1090/S0002-9947-1935-1501805-0
[5] Trott, G. R. On the canonical form of a non-singular pencil of hermitian matrices. American Journal of Mathematics 56 (1934) pp. 359–371. · Zbl 0009.24202 · doi:10.2307/2370940
[6] Turnbull, H. W. On the equivalence of pencils of hermitian forms. London Mathematical Society Proceedings (2) 39, pp. 232–248. · Zbl 0011.28902
[7] Vinograde, B. Canonical positive definite matrices under internal linear transformations. American Mathematical Society Proceedings 1 (1950), pp. 159–161. · Zbl 0037.30006 · doi:10.1090/S0002-9939-1950-0034746-2
[8] Schur, I. Über die charakteristischen Wurzeln einer linearen Substitution mit einer Anwendung auf die Theorie der Integralgleichungen. · JFM 40.0396.03
[9] Murnaghan, F. D. The theory of group representations. Baltimore, Johns Hopkins Press, pp. 25–26.
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