eigenvalue problem; normal operator; Kellogg's iteration; Hilbert space; eigenvector
We will discuss Kellogg's iterations in eigenvalue problems for normal operators. A certain generalisation of the convergence theorem is shown.
 N. Dunford J. T. Schwartz: Linear operators
. I(II), Mir, Moskva 1962 (1966). MR 0216303
 T. Kojecký: Some results about convergence of Kellogg's iterations in eigenvalue problems. Czechoslovak Math. J. (to appear).
 I. Marek: Iterations of linear bounded operators in non self-adjoint eigenvalue problems and Kellogg's iteration process
. Czechoslovak Math. J. 12 (1962), 536-554. MR 0149297
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