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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
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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