Pacific Journal of Mathematics

The invariance of symmetric functions of singular values.

Marvin Marcus and Henryk Minc

Article information

Source
Pacific J. Math., Volume 12, Number 1 (1962), 327-332.

Dates
First available in Project Euclid: 14 December 2004

Permanent link to this document
https://projecteuclid.org/euclid.pjm/1103036728

Mathematical Reviews number (MathSciNet)
MR0147489

Zentralblatt MATH identifier
0105.01004

Subjects
Primary: 15.30

Citation

Marcus, Marvin; Minc, Henryk. The invariance of symmetric functions of singular values. Pacific J. Math. 12 (1962), no. 1, 327--332. https://projecteuclid.org/euclid.pjm/1103036728


Export citation

References

  • [1] J. Dieudonne, Sur une generalization du groupe orthogonal quatre variables, Archiv. d. Math., 1 (1948), 282-287.
  • [2] G. Frobenius, ber die Darstellung der endlichen Gruppen durch lineareSubstitutionen, Sitzungsberichte der Berliner Akademie, pp. 994-1015.
  • [3] L. K. Hua, Geometries of matrices. I. Generalizations of von Staudt's theorem; Trans. Amer. Math. Soc, 57 (1945), 441-481.
  • [4] H. G. Jacob, Coherence invariantmappings on Kronecker products, Amer. J. Math., 77 (1955), 177-189.
  • [5] S. Kantor, Theorie der quivalenzvon linearen> Scharen bilinearerFormen, Sitzungsberichte der Mnchener Akademie, (1897), 367-381.
  • [6] M. Marcus and R. Westwick, Linear map on skew-symmetric matrices: the invariance of elementarysymmetric functions, Pacific J. Math., 10 (1960), 917-924.
  • [7] M. Marcus and B. N. Moyls, Transformationson tensor product spaces, Pacific J. Math., 9 (1959). 1215-1221.
  • [8] M. Marcus and R. Purves, Linear transformations on algebras of matrices: the invaria- nce of the elementary symmetric functions, Canadian J. Math., 11 (1959), 383-396.
  • [9] K. Morita, Schwarz's lemma in a homogeneous space of higher dimensions, Japan J. of Math., 19 (1944), 45-56.
  • [10] I. Schur, Einige Bemerkungenzur Determinantentheorie, Sitzungsberichte der Preus- sischen Akademie der Wissenschaften zu Berlin, 25 (1925), 454-463. U. S. NATIONAL BUREAU OF STANDARDS, WASHINGTON, D. C.