Acta Mathematica

The problem of unitary equivalence

J. Brenner

Full-text: Open access

Note

The solution herewith presented was completed in 1948, but not published until now.

Article information

Source
Acta Math. Volume 86 (1951), 297-308.

Dates
First available in Project Euclid: 31 January 2017

Permanent link to this document
https://projecteuclid.org/euclid.acta/1485888649

Digital Object Identifier
doi:10.1007/BF02392670

Zentralblatt MATH identifier
0045.29705

Rights
1951 © Almqvist & Wiksells Boktryckeri

Citation

Brenner, J. The problem of unitary equivalence. Acta Math. 86 (1951), 297--308. doi:10.1007/BF02392670. https://projecteuclid.org/euclid.acta/1485888649


Export citation

Literature

  • Hua, L. K.The orthogonal classification of hermitian matrices. American Mathematical Society Transactions 59 (1946), pp. 508–523.
  • Specht, W.Zur Theorie der Matrizen. Jahresbericht der Deutschen Mathematiker-Vereinigung 46 (1936), pp. 45–50.
  • Brenner, J.Right-multiplication by a unitary matrix. Notae. Mathematicae 1950.
  • See also Ingraham, M., and Wegner, K. W.. The equivalence of pairs of hermitian matrices. Trans. Amer. Math. Soc. 38 (1935) pp. 145–162.
  • Trott, G. R.On the canonical form of a non-singular pencil of hermitian matrices. American Journal of Mathematics 56 (1934) pp. 359–371.
  • Turnbull, H. W.On the equivalence of pencils of hermitian forms. London Mathematical Society Proceedings (2) 39, pp. 232–248.
  • Vinograde, B.Canonical positive definite matrices under internal linear transformations. American Mathematical Society Proceedings 1 (1950), pp. 159–161.
  • Schur, I.Über die charakteristischen Wurzeln einer linearen Substitution mit einer Anwendung auf die Theorie der Integralgleichungen.
  • Murnaghan, F. D.The theory of group representations. Baltimore, Johns Hopkins Press, pp. 25–26.