Gustafson, K. and Seddighin, M. (1989) Antieigenvalue Bounds. Journal of Mathematical Analysis and Applications, 143, 327-340. - References

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Gustafson, K. and Seddighin, M. (1989) Antieigenvalue Bounds. Journal of Mathematical Analysis and Applications, 143, 327-340.
https://doi.org/10.1016/0022-247X(89)90044-9

has been cited by the following article:

TITLE: Two Nonzero Component Lemma and Matrix Trigonometry

AUTHORS: Morteza Seddighin

KEYWORDS: Matrix Trigonometry

JOURNAL NAME: Advances in Linear Algebra & Matrix Theory, Vol.7 No.1, February 15, 2017

ABSTRACT: In this paper we show that the author’s Two Nonzero Lemma (TNCL) can be applied to present a simple proof for a very useful equality which was first proved by Karl Gustafson in 1968. Gustafson used Hilbert space methods, including convexity of the Hilbert space norm, to prove this identity which was the basis of his matrix trigonometry. By applying TNCL, we will reduce the problem to a simple problem of ordinary calculus.