Classification and properties of the spectrum of additive operators. (Russian) Zbl 0946.47049
The spectral classification of the algebra of additive and continuous operators on the Hilbert space is introduced. This classification in the case of the algebra of linear operators corresponds to the known one. Properties of spectral components are analysed. Spectral properties of normal selfadjoint and unitary antilinear operators are considered. The introduced classification is modified for a class of additive operators.
Reviewer: I.T.Selezov (Kyïv)
MSC:
| 47L30 | Abstract operator algebras on Hilbert spaces |
| 47A10 | Spectrum, resolvent |
| 47L05 | Linear spaces of operators |
| 47B25 | Linear symmetric and selfadjoint operators (unbounded) |
