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8.—A Rule relating the Deficiency Indices of Lj to those of Lk.*

Published online by Cambridge University Press:  14 February 2012

Robert M. Kauffman
Robert M. Kauffman
Affiliation:
Department of Mathematics, University of Dundee.
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Synopsis

Let d(L) denote the deficiency indices (which are equal) of a formally symmetric differential expression L with real coefficients. Then it is shown that

(a)if k>1, d(Lk)−d(Lk−1) ≤ order L, and

(b)if j ≥ k > 1, d(Lj)−d(Lj−1) ≥ d(Lk)−d(Lk−1).

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 74 , 1976 , pp. 115 - 118
Copyright
Copyright © Royal Society of Edinburgh 1976

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References

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