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Spectral properties of higher derivations on symmetry classes of tensors. (English) Zbl 0233.15020


MSC:

15A72 Vector and tensor algebra, theory of invariants
15A04 Linear transformations, semilinear transformations
15A18 Eigenvalues, singular values, and eigenvectors
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References:

[1] Ky Fan, On a theorem of Weyl concerning eigenvalues of linear transformations. I, Proc. Nat. Acad. Sci. U. S. A. 35 (1949), 652 – 655.
[2] W. H. Greub, Multilinear algebra, Die Grundlehren der Mathematischen Wissenschaften, Band 136, Springer-Verlag New York, Inc., New York, 1967. · Zbl 0169.35302
[3] M. Marcus and J. L. McGregor, Extremal properties of Hermitian matrices, Canad. J. Math. 8 (1956), 524 – 531. · Zbl 0073.25302 · doi:10.4153/CJM-1956-059-0
[4] M. Marcus, B. N. Moyls, and R. Westwick, Extremal properties of Hermitian matrices. II, Canad. J. Math. 11 (1959), 379 – 382. · Zbl 0086.01705 · doi:10.4153/CJM-1959-038-7
[5] R. C. Thompson, A note on normal matrices, Canad. J. Math. 15 (1963), 220 – 225. · Zbl 0129.26603 · doi:10.4153/CJM-1963-026-8
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