Article contents
Sums and products of quasi-nilpotent operators
Published online by Cambridge University Press: 14 November 2011
Extract
It is proved that a bounded operator on Hilbert space is the sum of two quasi-nilpotent operators if and only if it is not a non-zero scalar plus a compact operator. Necessary conditions and sufficient conditions for an operator to be the product of two quasi-nilpotent operators are given.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 99 , Issue 1-2 , 1984 , pp. 193 - 200
- Copyright
- Copyright © Royal Society of Edinburgh 1984
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