On the eigenvalues which express antieigenvalues. (English) Zbl 1094.47030

Seddighin, Morteza; Gustafson, Karl

Int. J. Math. Math. Sci. 2005, No. 10, 1543-1554 (2005).

The paper deals with the first antieigenvalue and the components of the first antieigenvectors of an accretive compact normal operators. It is proved that the expressions which state the first antieigenvalue and the components of the first antieigenvectors are unambiguous. Using the obtained results, an algorithm for computing higher antieigenvalues is developed.

Reviewer: Bilender P. Allahverdiev (Isparta)

MSC:

47A75	Eigenvalue problems for linear operators
47B44	Linear accretive operators, dissipative operators, etc.
47B15	Hermitian and normal operators (spectral measures, functional calculus, etc.)
15A18	Eigenvalues, singular values, and eigenvectors

Keywords:

antieigenvalue; antieigenvector; accretive compact normal operator