Az Eszterházy Károly Tanárképző Főiskola Tudományos Közleményei. 1991. (Acta Academiae Paedagogicae Agriensis : Nova series ; Tom. 20)

Aleksander Grytczuk and Marek Szal ko ws ki: Spectral proferties of some matrices

- 50 (26) x

k

d = [Re X

k J"- |im X

kJ

2 * L [

Tr

2A - 2aJ where m^n if n is even and míSn-1 if n is odd. It. is easy to see that from (23) we get (1.3) and therefore the proof of Theorem B is complete. REFERENCES [1] N. W. ICuharenko, On spectral property of a zero-trace matrix, Mat. Zametki 35 (2), (1904), 149-151 (Russian). [2 3 A. Schinzel and H. Zassenhaus, A refinement of two theorems of Kronecker, Mich.Math

.J

. 12 (1963), 81-84. [33 T. Szulc, On some spectral properties of matrices with real entries, Z.Angew.Math.Mech. 68, (1988), 320-322. /