Article contents
Diagonals of nilpotent operators
Published online by Cambridge University Press: 20 January 2009
Extract
The purpose of the present note is to answer the following question of T. A. Gillespie,learned from G. J. Murphy [4]: for which sequences{an} of complex numbers does there exist a quasinilpotent operator Q on a (separable, infinite-dimensional, complex) Hilbert space H, which has{an} as a diagonal, that is (Qen,en)=n for some orthonormal basis{en} in H?
- Type
- Research Article
- Information
- Copyright
- Copyright © Edinburgh Mathematical Society 1986
References
REFERENCES
- 4
- Cited by