Abstract
As is well known, the deficiency indices of the minimal symmetric differential operator of even order 2m with real coefficients on the half-line lie within the limits m and 2m, and are equal. I. M. Glazman [6] first showed, by examples, that for such operators the deficiency indices can actually take all the intermediate values m ≦ P ≦ 2m. Subsequently fresh examples of operators with real coefficients, whose deficiency indices take all possible values, were constructed by various authors (S. A. Orlov [11], M. V. Fedoryuk [4], and others).
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