ACTA issues

Perturbation of extended enumerations of eigenvalues

Rajendra Bhatia, Chandler Davis

Acta Sci. Math. (Szeged) 65:1-2(1999), 277-286

Abstract. Various bounds for perturbation of eigenvalues of normal matrices are shown to remain true for compact perturbations of normal operators, if ``extended'' eigenvalue sets are considered in the sense introduced by T. Kato.

AMS Subject Classification (1991): 47A75, 15A42; 47A55, 47B10

Keyword(s): Spectral variation, Eigenvalue perturbation

Received March 2, 1995 and in revised form July 10, 1998. (Registered under 2684/2009.)